Question

LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya 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

LaToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym?

Answer 1

well 404 dollars subtract 100 for member ship and have 304 then divide 304 divided by 38 and you get 8 months plug it in and bam 8 is c which makes sesne when checking your answer

Answer 2

Number line with closed circle on 1 and 8, shading in between.

Explanation:

This is the question you are referring to.

LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:

as 100+38x=C is our equation to determine the number of months, with $404 as a Maximum amount for her to spend, we know the beginners fee is 100 and every month(Including the first) is 38 dollars. we can understand that in 8 months, she will reach exactly 404 dollars spent on her membership.