Question

Aldora 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 $36. If x represents the number of months that Aldora 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 + 36x = C

Aldora has allocated a maximum of $352 to spend on her gym membership. Which number line shows the possible number of months that Aldora can be a member of the gym? (5 points)


A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 7 to 12 is bold with shaded circles a

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 7 is bold with shaded circles at

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 7 is bold with a shaded circle a

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 12 is bold with shaded circles a

Answer 1

Answer: A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 7 is bold with a shaded circle a.

Explanation:

Given equation:
`C=100+36x`, where x represents the number of months that Aldora is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time.

Since, Aldora has allocated a maximum of $352 to spend on her gym membership.

Put C=352 in the equation, we get

`36x+100=352\\\Rightarrow36x=252\\\Rightarrow\ x=7`

Thus, the maximum number of months she can join gym= 7

The number line with 1 to 12 points in increments of 1. (because 1 year = 12 months), the portion of the line from 1 to 7 is bold with a shaded circle.[Shaded circle means open bracket which includes 1 and 7 in it].