Monisha 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 $37. If x represents the number of months that Monisha 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 + 37x = C

Monisha has allocated a maximum of $285 to spend on her gym membership. Which number line shows the possible number of months that Monisha can be a member of the gym?

Question

Monisha 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 $37. If x represents the number of months that Monisha 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 + 37x = C

Monisha has allocated a maximum of $285 to spend on her gym membership. Which number line shows the possible number of months that Monisha can be a member of the gym?

anonymous · Answer

place C=285, then by simple algebra

37x=285-100
37x=185
x=5

Hence, the maximum month that Monisha can enrol in the gym is about 5 months.