4.5 Writing a Nonlinear Function Rule
Terms in this set (19)
The price p of an ice cream cone is $3.95 plus $0.85 for each topping t on the cone.
p = 0.85t + 3.95
A babysitter's earnings e are a function of the number of hours n worked at a rate of $7.25 per hour.
e = 7.25n
The price p of a club's membership is $30 for an enrollment fee and $12 per week w to be a member.
p = 12w + 30
A plumber's fees f are $75 for a house call and $60 per hour h for each hour worked.
f = 60h + 75
A hot dog d costs $1 more than one-half the cost of a hamburger h.
d = 0.5h + 1
José is 3 years younger than 3 times his brother's age. Write a rule that represents José's age j as a function of his brother's age b. How old is José if his brother is 5?
j = 3b - 3; 12 years old
A taxicab charges $4.25 for the first mile and $1.50 for each additional mile. Write a rule for describing the total rate r as a function of the total miles m. What is the taxi rate for 12 miles?
r = 1.5(m - 1) + 4.25; $20.75
Write a function rule for the area of a rectangle whose length is 4 in. more than its width. What is the area of the rectangle when its width is 8 in.?
A = (w + 4)w; 96 square inches
Write a function rule for the area of a rectangle with a length 3 ft more than two times its width. What is the area of the rectangle when its width is 4 ft?
A = (2w + 3)w; 44 square feet
Write a function rule for the area of a triangle with a base 2 meters less than 4 times its height. What is the area of the triangle when its height is 8 meters?
A = 0.5(4h - 2)h; 120 square meters
Explain whether or not the relationship between inches and feet represents a function.
yes; y = 12x, where y is inches and x is feet, is a linear function.
Eric is 2 years younger than 2 times his sister's age. Write a rule that represents Eric's age a as a function of his sister's age s. How old is Eric if his sister is 11?
a = 2s - 2; 20 years
An online music club charges $5.75 for the first music download and $2 for each additional download per month. Write a rule for describing the total monthly fees f as a function of additional downloads d. What are the fees for 15 music downloads in a month?
f = 2d + 5.75; $33.75
Write a function rule for the area of a rectangle whose length is 6 ft more than its width. What is the area of the rectangle when its width is 12 ft?
A = (w + 6)(w); 216 square feet
Write a function rule for the area of a rectangle with a length 7 m more than three times its width. What is the area of the rectangle when its width is 3 m?
A = (3w + 7)(w); 48 square meters
Is the graph of a function that relates a square's side length to its perimeter continuous or discrete?
continuous; The function that models this relationship is P = 4s, where P is the perimeter of the square and s is the side length. This function is continuous because the side length can be any real number greater than 0.
A plane was flying at an altitude of 30,000 feet when it began the descent toward the airport. The airplane descends at a rate of 850 feet per minute. What is the function rule that describes this situation? What is the altitude of the plane after it has descended for 8 minutes?
A = 30,000 - 850m; 23,200 ft
Twelve cans of peaches are placed into each box. Write a function rule for the number of boxes needed for c cans. How many boxes are needed for 1440 cans?
b = (c/12) ; 120 boxes
Tickets to a concert cost $45 per ticket plus a $10 processing fee for each order. Write a function rule for the total cost of ordering tickets. What is the total cost to order 6 tickets?
c = 45t + 10; $280
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