1) A gym charges a one-time sign-up fee and then a regular monthly fee. The cost of a membership as a function of the number of months as a member is shown for 2010 and 2011 on the graph.

a. What characteristics of the graph represent the sign-up fee and the monthly fee? What are those values for the 2010 line?
b. Ho did the membership costs change from 2010 to 2011? Explain how you can tell from the graphs.

2) A bicycle computer records each wheel rotation to calculate the total distance traveled. To set up the computer, you select a calibration constant based on the bicycle's wheel size. The computer multiplies this constant times the number of wheel rotations to find the total distance in miles. Write an equation where distance d in miles is a function of rotations n if the calibration constant is 1382. If the function is incorrect and your wheel is actually slightly smaller, how should the function change?

3) High demand cars that are also in low supply tend to retain their value better than other cars. The data in the table is for a car that won a resale value award.
Table shows~
Years: 1 3 5
Value(%): 84 64 44
a. Write a function to represent the change in the percentage of the car's value over time. Assume that the function is linear for the first 5 years.
b. According to your model, by what percent did the car's value drop the day it was purchased and driven off the lot?
c. Do you think the linear model would still be useful after 10 years? Explain why or why not.
d. Suppose you used months instead of years to write a function. How would your model change?

Please help and thank you.

1 answer

We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.

Also, #1 has no graph. You cannot copy and paste here.