You and your friend join a new gym that requires a one-time joining fee and monthly payments. (10 pts)
a. If your friend stays with this gym for 2 years and pays $865 while you stay for 15 months and pay $550, find the linear function that models this data with the cost of gym membership, C, in terms of the number of months attended, m.
b. What is the cost per month and what is the joining fee?
c. Find the cost for staying with the gym for 3 years.
d. Determine the maximum number of months one can stay with this gym for $1000.
f. After 11 months at the gym your total bill is $425. Is this what the equation predicted your bill would be? If not, calculate and explain the residual value.