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?

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?

gabylovesyou · Answer

@jim_thompson5910

anonymous · Answer

328-100=228/38=6

anonymous · Answer

so C=328 since it is the maximum she has spent

gabylovesyou · Answer

how would this be drawn on a number line?

anonymous · Answer

so you plug it in and you get  this:
100+38x=328
38x=228
divide both sides by 38 and you get
x=6
x=months
so she's been a member 6 months max.

gabylovesyou · Answer

|dw:1351813240721:dw|

anonymous · Answer

that looks right since shading it in makes it equal to.. and it can be x is less than or EQUAL to 6. so yup! u got it :)