Your gym membership costs $27.65 per month after an initial membership fee. You paid a total of $179.13 after 6 months.

Question

A. Write an equation that gives you the total cost,y, related to

the number of months,x, of your gym membership.

B. Find the total cost after 9 months.

Answer 1

Solution:

A) The total cost after 6 month is $179.13. this includes the initial membership fee and the fee per month

Let the initial membership fee be I, and x be the number of months

C = I + $27.65/month(6months) , C = I + $165.90 , find I = C - $165.90 = $179.13 - $165.90= $13.23

C = $13.23 + 27.65 (x) = 27.65 x + 13.23

B) After nine month x = 9, the cost C = $27.65 /month ( 9 months) + $13.23= $ 262.08

Answer 2

First, let's find out the membership fee (f). We know that the total cost of the fee and 6 months of the gym membership (27.65 per month) is equal to 179.13.

179.13 = f + (27.65 • 6) f = 13.23

Then we just need to make a relationship between the cost (y), the one-time fee, and the monthly membership multiplied by the number of months month (27.65 • x):

y = 13.23 + 27.65x

After 9 months (x = 9):

y = 13.23 + 27.65 (9) = 262.08 So the total gym membership after 9 months is $262.08