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1.03 Quiz: Linear Functions
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Terms in this set (10)
What is the slope of the line that passes through (0,1) and is parallel to y=5x+3?
(5x+1)
Which of the following could be the graph of the line y=-3x+2?
(0,2) and (0.667,0)
Which of the following are not correct expressions for slope?
x2-x1/y2-y1 and Change in the independent variable divided by change in the dependent variable
Which of the following is the equation of a line that passes through the point (3,2) and is parallel to the y-axis?
x=3
Which of the following is the equation of a line that passes through the point (1,6) and (2,1)?
y=-5x+11
What is the slope of the line that is perpendicular to the line v=2x-6?
-1/2
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(x)=20x-50where x is the number of doors she knocks on during the week and E open argument x close argument is her earnings for the week in dollars.
What does the slope of Jessica's function represent?
For each additional door she knocks on, her earnings will increase by $20
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(x)=10x-30, where x is the number of doors she knocks on during the week and E open argument x close argument is her earnings for the week in dollars.
What of the following are reasonable interpretations of the y-intercept of Jessica's function?
Her expenses are $30 and If she does not knock on any doors at all during the week, she will lose $30
The ordered pairs below a relation between x and y.
(-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20)
Could this set of ordered pairs have been generated by a linear function?
No, because the distance between consecutive y-values is different from the distance between consecutive x-values.
The ordered pairs below a relation between x and y.
(-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20)
Which of the following is a correct statement about this relation?
The slope of the line represented by this table is 4 and the y-intercept is 12
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Verified questions
COLLEGE ALGEBRA
A software service hotline has found that on Mondays, the polynomial function $$ C ( t ) = - 0.0625 t ^ { 4 } + t ^ { 3 } - 6 t ^ { 2 } + 16 t $$ approximates the number of callers to the hotline at any one time. Here, t represents the time, in hours, since the hotline opened at 8:00 A.M. How many service technicians should be on duty on Mondays at noon if the company doesn’t want any callers to the hotline waiting to be helped by a technician?
ALGEBRA2
The number E of eggs a Leghorn chicken produces per year can be modeled by the equation $$ E=179.2(0.89)^{w/52} $$ where w is the age (in weeks) of the chicken and w ≥ 22. Explain how you can rewrite the given equation so that time is measured in years rather than in weeks.
BUSINESS MATH
The Smithtown Highway Department is doing a survey on potholes and road conditions. They send a survey to all registered voters In their locale. Explain why this surveying technique is poor due to undercoverage.
PRECALCULUS
Cathy Nguyen races on a bicycle with 13-inch-radius wheels. When she is traveling at a speed of 44 ft/sec, how many revolutions per minute are her wheels making?
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