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

x = 6

Explanation:

Given : Fiona decides to join a gym :

A joining fee of $100

A monthly fee of $38

x represents the number of months.

Fiona has allocated a maximum of $328 to spend on her gym membership

Her total membership fee for that duration of time: 100 + 38x = C

Solution :

It is given that Fiona has allocated a maximum of $328 to spend

So, C = $328

Putting this value in equation 100 + 38x = C

⇒
`100+38x=328`

⇒
`38x=328-100`

⇒
`38x=228`

⇒
`x=(228)/(38)`

⇒
`x=6`

Thus, x = 6 is number line that shows the possible number of months that Fiona can be a member of the gym.

Answer 2

Substituting the value of C=$328 into the equation we have


`100+38x=328`

`328-100=38x`

`228=38x`

`x= (228)/(38)`

`x=6`

The number line that shown the value of x=6 is the answer