Question

Aldora decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a joining fee of $100 and a monthly fee of $36. If x represents the number of months that Aldora is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:

100 + 36x = C

Aldora has allocated a maximum of $352 to spend on her gym membership. Which number line shows the possible number of months that Aldora can be a member of the gym?

I CANT PUT THE GRAPHS UP BUT I HOPE U UNDERSTAND

Answer 1

From what I understand with the problem, you are only asked to find the value of x which is the number of months. So, you don't really need a graph to answer this question. Just solve this like any other problem in algebra.

100 + 36x = C, where the maximum value of C is $352
100 + 36x = 352
36x = 352 - 100
36x = 252
x = 7 months

Therefore, x should be at most 7 months.