Question

Monisha 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 $37. If x represents the number of months that Monisha 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 + 37x = C

Monisha has allocated a maximum of $285 to spend on her gym membership. Which number line shows the possible number of months that Monisha can be a member of the gym?

Answer 1

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 5 is bold with shaded circles at 1 and at 5

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 1 to 5 is bold with open circles at 1 and at 5

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 0 to 5 is bold with shaded circles at 0 and at 5

A number line shows numbers from 0 to 12 in increments of 1. The portion of the line from 0 to 5 is bold with open circles at 0 and at 5

Answer 2

@Mr.Question

Answer 3

100 + 37x = C (where C = less then or equal to 285)
100 + 37x <=285
37x <= 285 - 100
37x <= 185
x <= 185/37
x <= 5

Now look at your number lines.....since the 5 is part of the solution, the 5 has to have a closed circle with shading to the left.all the way to 0. I believe that it is the third number line :)

Answer 4

Since she has $285, let C = 285 and solve for x.