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Study sets matching "direct variation"

20 terms
Direct Variation
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct…
y = 4.5x; x = 10
If x = 27 when y = 6, write the direct…
y = 2/9x; x = 202.5
8 terms
Direct Variation
coordinate plane
direct variation
ordered pair
origin
A coordinate system formed by the intersection of a horizonta…
a relationship between two variables in which the data increa…
a pair of numbers used to locate a point on a coordinate grid…
The point (0,0) where the x-axis and the y-axis intersect in…
coordinate plane
A coordinate system formed by the intersection of a horizonta…
direct variation
a relationship between two variables in which the data increa…
13 terms
Direct Variation
direct variation
direct variation
constant of variation
direct variation
a relationship between two variables in which the data increa…
y = kx
k; the coefficient of x
k = y / x
direct variation
a relationship between two variables in which the data increa…
direct variation
y = kx
20 terms
Direct Variation
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct…
y = 4.5x; x = 10
If x = 27 when y = 6, write the direct…
y = 2/9x; x = 202.5
20 terms
Direct Variation
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct…
y = 4.5x; x = 10
If x = 27 when y = 6, write the direct…
y = 2/9x; x = 202.5
12 terms
Direct Variation
direct variation graph
origin
direct variation table
direct variation equation
a straight line that goes through the origin
the point (0,0)
the ratio y/x is the same for every pair of points
y=mx
direct variation graph
a straight line that goes through the origin
origin
the point (0,0)
20 terms
Direct Variation
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct…
y = 4.5x; x = 10
If x = 27 when y = 6, write the direct…
y = 2/9x; x = 202.5
20 terms
Direct Variation
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct…
y = 4.5x; x = 10
If x = 27 when y = 6, write the direct…
y = 2/9x; x = 202.5
9 terms
Direct Variation
Find the direct variation equation if…
Find the direct variation equation if…
Find the direct variation equation if…
Find the constant of variation if x=32…
y=8x
y=-5x
y=1/5*x
k=1/8
Find the direct variation equation if…
y=8x
Find the direct variation equation if…
y=-5x
14 terms
Direct Variation
Direct Variation
Direct Variation Equation
Constant of Variation
Constant of Variation Formula
When two values are directly proportional
y = kx
k; the coefficient of x
k = y / x
Direct Variation
When two values are directly proportional
Direct Variation Equation
y = kx
20 terms
Direct Variation
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct variation equation and…
If x = 27 when y = 6, write the direct variation equation and…
If y = 10 when x = 9, write the direct variation equation and…
If x = 10 when y = 9, write the direct variation equation and…
y = 4.5x; x = 10
If y = 27 when x = 6, write the direct variation equation and…
y = 2/9x; x = 202.5
If x = 27 when y = 6, write the direct variation equation and…
20 terms
Direct Variation
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct variation equation and…
If x = 27 when y = 6, write the direct variation equation and…
If y = 10 when x = 9, write the direct variation equation and…
If x = 10 when y = 9, write the direct variation equation and…
y = 4.5x; x = 10
If y = 27 when x = 6, write the direct variation equation and…
y = 2/9x; x = 202.5
If x = 27 when y = 6, write the direct variation equation and…
9 terms
Direct Variation
y=8x
y=-5x
y=1/5*x
k=1/8
Find the direct variation equation if y=24 when x=3
Find the direct variation equation if y=-15 when x=3
Find the direct variation equation if y=6 when x=30
Find the constant of variation if x=32 when y=4
y=8x
Find the direct variation equation if y=24 when x=3
y=-5x
Find the direct variation equation if y=-15 when x=3
20 terms
Direct Variation
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct variation equation and…
If x = 27 when y = 6, write the direct variation equation and…
If y = 10 when x = 9, write the direct variation equation and…
If x = 10 when y = 9, write the direct variation equation and…
y = 4.5x; x = 10
If y = 27 when x = 6, write the direct variation equation and…
y = 2/9x; x = 202.5
If x = 27 when y = 6, write the direct variation equation and…
15 terms
Direct Variations
y=4x-5
y=5x
y=37x
y=4x+9
No
Yes
Yes
No
y=4x-5
No
y=5x
Yes
5 terms
Direct Variation
direct variation
constant of variation
direct variation formula
solving for k
when two variable quantities have a constant(unchanged) ratio
constant ratio
y=kx... where k is the constant of variation
k=y/x... y=numerator... x=denominator
direct variation
when two variable quantities have a constant(unchanged) ratio
constant of variation
constant ratio
16 terms
Direct Variation
direct variation
direct variation
constant of variation
direct variation
a relationship between two variables in which the data increa…
y = kx
k; the coefficient of x
k = y / x
direct variation
a relationship between two variables in which the data increa…
direct variation
y = kx
12 terms
direct variation
slope
direct variation
the constant of variation for a direct…
parent function
vertical change and horizontal change
mathematical relationship between two variables that can be e…
k is the coefficient of x by dividing each side of y
is the simplest function with these charecteristics
slope
vertical change and horizontal change
direct variation
mathematical relationship between two variables that can be e…
13 terms
Direct Variation
constant of variation
direct variation
rate of change
Which of the following functions is a…
the value of k in a direct variation, y = kx
a function of the form y = kx where k is not zero
how the dependent variable changes with respect to the indepe…
f(x) = 2x
constant of variation
the value of k in a direct variation, y = kx
direct variation
a function of the form y = kx where k is not zero
8 terms
Direct Variation (Terms)
coordinate plane
direct variation
ordered pair
origin
A coordinate system formed by the intersection of a horizonta…
a relationship between two variables in which the data increa…
a pair of numbers used to locate a point on a coordinate grid…
The point (0,0) where the x-axis and the y-axis intersect in…
coordinate plane
A coordinate system formed by the intersection of a horizonta…
direct variation
a relationship between two variables in which the data increa…
6 terms
Module 9: Direct Variation
Yes - it passes through the origin
No - it does not pass through the origin
No - there is no constant. (y/x - 4/1,…
yes - there is a constant - 1.5. (y/x…
Is this a direct variation?
Is this a direct variation?
Is this a direct variation?
Is this a direct variation?
Yes - it passes through the origin
Is this a direct variation?
No - it does not pass through the origin
Is this a direct variation?
15 terms
Direct Variations
y=4x-5
y=5x
y=37x
y=4x+9
No
Yes
Yes
No
y=4x-5
No
y=5x
Yes
13 terms
Direct and Inverse Variation
Formula for Inverse Variation
Formula for Direct Variation
Rules for Inverse Variation
Rules for Direct Variation
xy = k
y = kx
As X goes down Y must go up; Multiply
As X goes up (or down) Y must also go up (or down); Divide
Formula for Inverse Variation
xy = k
Formula for Direct Variation
y = kx
20 terms
Direct and Inverse Variation
Is this a direct or inverse variation…
Write the equation for the table set b…
Find the missing value
Find the missing value
Suppose y varies directly as x, and y= 16 when x = 8. Find y…
Suppose y varies directly as x, and y = 21 when x = 3. Find x…
Is this a direct or inverse variation…
Write the equation for the table set b…
9 terms
Direct & Indirect Variation
y = k/x
The line never touches either axis on…
As the X increases, the variable Y dec…
Y varies inversely as X or Y is invers…
Inverse Variation
Inverse Variation
Inverse Variation
Inverse Variation
y = k/x
Inverse Variation
The line never touches either axis on…
Inverse Variation
8 terms
Proportionality and direct variation
X axis
Y axis
origin
quandrant
Horizontal number line on a coordinate plane
Vertical number line on a coordinate plane
The point where the two numbers cross each other at the order…
The four regions formed by the X-axis and the Y-axis on a coo…
X axis
Horizontal number line on a coordinate plane
Y axis
Vertical number line on a coordinate plane
10 terms
Algebra part A (Direct Variation and Inverse Variation)
direct variation equation
inverse variation equation
direct variation solve for k
inverse variation solve for k
y= kx
y= k/x
k= y/x
k= xy
direct variation equation
y= kx
inverse variation equation
y= k/x
10 terms
Direct Variation Vocabulary
Proportion
Ratio
Fraction
Percent
Two ratios that have been set equal to one another, which can…
A comparison between two numbers.
A part of a whole.
A ratio comparing a number to 100.
Proportion
Two ratios that have been set equal to one another, which can…
Ratio
A comparison between two numbers.
14 terms
Direct Variation Word Problems
The number of goals scored by a soccer…
The pressure of a gas varies directly…
The number of miles a car can be drive…
The number of wrecks at a certain inte…
2/24=4/x... x=48
12.5/250 = x/350... x= 17.5
399/19 = x/8... x= 168
17/833 = 6/x... x= 294
The number of goals scored by a soccer…
2/24=4/x... x=48
The pressure of a gas varies directly…
12.5/250 = x/350... x= 17.5
11 terms
Basics for Direct and Inverse Variation
y=kx
y=k/x
direct variation graph
inverse graph
Direct formula
inverse formula
What type of graph?
What type of graph?
y=kx
Direct formula
y=k/x
inverse formula
8 terms
Direct Variation Review
Y varies directly with x. If y = -2 wh…
Y varies directly with x and y is 9 wh…
Y varies directly with x and y is 18 w…
Y varies directly with x and y is 8 wh…
x = -2
x = -5/9
y = 3x
y = 2x
Y varies directly with x. If y = -2 wh…
x = -2
Y varies directly with x and y is 9 wh…
x = -5/9
18 terms
Direct Variation Equations
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 9/2x
y = 2/9x
y = 10/9x
y = 9/10x
If y = 27 when x = 6, write the direct…
y = 9/2x
If x = 27 when y = 6, write the direct…
y = 2/9x
13 terms
Petrie Direct Variation
direct variation
direct variation
constant of variation
direct variation
a relationship between two variables in which the data increa…
y = kx
k; the coefficient of x
k = y / x
direct variation
a relationship between two variables in which the data increa…
direct variation
y = kx
13 terms
Petrie Direct Variation
direct variation
direct variation
constant of variation
direct variation
a relationship between two variables in which the data increa…
y = kx
k; the coefficient of x
k = y / x
direct variation
a relationship between two variables in which the data increa…
direct variation
y = kx
9 terms
Direct and Inverse Variation
Formula for Direct Variation
Formula for Inverse Variation
Graph for Inverse Variation
Graph for Direct Variation
xy=k
y=kx
Formula for Direct Variation
xy=k
Formula for Inverse Variation
y=kx
Direct Variation 1
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct…
y = 4.5x; x = 10
If x = 27 when y = 6, write the direct…
y = 2/9x; x = 202.5
9 terms
Inverse and Direct Variation Flashcards
Example of Inverse Variation
Example of Direct Variation
Definition for Constant
Graphs of Direct Variation
A number that is on its own in an equation or expression
Example of Inverse Variation
Example of Direct Variation
20 terms
5.5 Direct Variation
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct…
y = 4.5x; x = 10
If x = 27 when y = 6, write the direct…
y = 2/9x; x = 202.5
9 terms
Direct and Inverse Variation
Formula for Inverse Variation
Formula for Direct Variation
Rules for Inverse Variation
Rules for Direct Variation
xy = k
y = kx
As X goes down Y must go up; Multiply
As X goes up (or down) Y must also go up (or down); Divide
Formula for Inverse Variation
xy = k
Formula for Direct Variation
y = kx
9 terms
Inverse and Direct Variation Flashcards
Example of Inverse Variation
Example of Direct Variation
Definition for Constant
Graphs of Direct Variation
A number that is on its own in an equation or expression
Example of Inverse Variation
Example of Direct Variation
20 terms
Direct & Inverse Variation
30
-44
38
-30
Direct Variation: y = 6 when x = 10; find x when y = 18
Direct Variation: y = 22 when x = 8; find y when x = -16
Direct Variation: y = 3.2 when x = 1.6; find y when x = 19
Direct Variation: y = -6 when x = 1.6; find y when x = 8
30
Direct Variation: y = 6 when x = 10; find x when y = 18
-44
Direct Variation: y = 22 when x = 8; find y when x = -16
18 terms
Percent/Direct Variation
Direct Variation
Constant of Proportionality
Percent of change
Percent of increase
A linear relationship between 2 variables (y = k/x; k cannot…
The constant k in direct variation
The amount stated as a percent that a number increases or dec…
A percent change describing an increase in quantity
Direct Variation
A linear relationship between 2 variables (y = k/x; k cannot…
Constant of Proportionality
The constant k in direct variation
20 terms
Direct Variation (Copy)
If y = 27 when x = 6, write the direct…
If x = 27 when y = 6, write the direct…
If y = 10 when x = 9, write the direct…
If x = 10 when y = 9, write the direct…
y = 4.5x; x = 10
y = 2/9x; x = 202.5
y = 10/9x; x = 8.1
y = 9/10x; x = 10
If y = 27 when x = 6, write the direct…
y = 4.5x; x = 10
If x = 27 when y = 6, write the direct…
y = 2/9x; x = 202.5
8 terms
Direct and Inverse Variation
Direct Variation Equation for y
Inverse Variation Equation for y
Direct Variation Equation for k
Inverse Variation Equation for k
y=kx
y=k/x
k=y/x
k=yx
Direct Variation Equation for y
y=kx
Inverse Variation Equation for y
y=k/x
15 terms
Linear Equation /Direct Variation
domain
direct variation
discrete graph
continuous graph
The possible values for the input of a relation or function.
A linear function defined by an equation in the form y = kx,…
A graph composed of isolated points.
A graph that is unbroken.
domain
The possible values for the input of a relation or function.
direct variation
A linear function defined by an equation in the form y = kx,…
8 terms
Linear Equation /Direct Variation
domain
direct variation
constant of variation
discrete graph
The possible values for the input of a relation or function
A linear function defined by an equation in the form y = kx,…
The nonzero constant k in the function y = kx
A graph composed of isolated points
domain
The possible values for the input of a relation or function
direct variation
A linear function defined by an equation in the form y = kx,…
22 terms
Direct , Indirect, and Joint Variation
If y varies directly with x, find the…
If y varies directly with x, find the…
If y varies inversely with x, find the…
If y varies jointly with x and z, find…
y = 4.5x; x = 10
y = (2/9)x; x = 202.5
y = (3800)/x; y = 50
y = (3/4)xz; y = 36
If y varies directly with x, find the…
y = 4.5x; x = 10
If y varies directly with x, find the…
y = (2/9)x; x = 202.5
12 terms
direct and inverse variation
direct variation
Inverse variation
y varies directly as x`
c varies directly as d
y=kx ... x1/y1= x2/y2
k=xy... x1/y2=x2/y1
y=kx
c=kd
direct variation
y=kx ... x1/y1= x2/y2
Inverse variation
k=xy... x1/y2=x2/y1
13 terms
Direct and Inverse Variation
Direct Variation
Inverse Variation
Real world situations
Suppose that x and y vary inversely an…
linear function where y=0. ... y=kx ... k- constant of variation
y= k/x or k= yx... k- constant of variation
1st quadrant. ... Rate is the dependent variable, or x. ... Time is…
Step 1: y= k/x ... Step 2: -5= k/3 ... Step 3: k- -15... Step 4: Answe…
Direct Variation
linear function where y=0. ... y=kx ... k- constant of variation
Inverse Variation
y= k/x or k= yx... k- constant of variation
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