U-Haul is a moving truck rental company with over 20,000 locations in the United States. Customers pick up a truck and drive their belongings to their new home. The cost of renting a U-Haul depends on the number of miles driven in the truck.
The table below shows the relationship between the number of miles driven with a U-Haul and the cost of renting the U-Haul.
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Question 1
1.
What is the average rate of change in the cost of the rental between m=10 and m=25?
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Question 2
2.
What is the average rate of change in the cost of the rental between m=25 and m=50?
Question 3
3.
Graph the points.
Question 4
4.
What does the graph reveal about the relationship between the number of miles driven and the cost of the rental?
Question 5
5.
Is the rate of change of the cost increasing, decreasing, or staying constant? Explain.
Question 6
6.
U-Haul charges all its customers a minimum base price regardless of how many miles they drive. What is this base price? How do you know?
Question 7
7.
Write an equation for C(m), the cost of renting the U-Haul and driving it for m miles.
Question 8
8.
"Equal changes in input produce equal changes in output." represent what type of function?
Question 9
9.
Give one word to describe the average rate of change of a linear function.
Question 10
10.
Give one word to describe the rate of change OF the rate of change of a linear function.
Question 11
11.
Do linear functions have concavity?
Question 12
12.
Go back to your sketch on #3 and draw a secant line and a tangent line. What do you notice?