Question

Fiona 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 $38. If x represents the number of months that Fiona 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 + 38x = C Fiona has allocated a maximum of $328 to spend on her gym membership. Which number line shows the possible number of months that Fiona can be a member of the gym?

Answer 1

B is the correct answer because you would subtract 100 from 328, then divide 228 by 38 to get the number of months, which would be 6

Answer 2

Number line that shows from 1 to 6 (2nd option)

Explanation:

Solving the equation for
`x` (with C=328):

`C=100+38x\\328=100+38x\\328-100=38x\\228=38x\\x=(228)/(38)=6`

This means, Fiona can join a gym for maximum of 6 months. Also, its given in the problem that her minimum is 1 month. So we choose the number line from 1 to 6.

This is the 2nd answer choice (number line).