Question

A gym charges members $40 for a registration fee, and then $38 per month. You became a member some time ago, and now you have paid a total of $458 to the gym. How many months have passed since you joined the gym?

_____ months have passed since you joined the gym.

Answer 1

• Rate of change=38$
• Registration fee=40$

Equation in slope intercept form

• y=mx+b
• y=38x+40

x is no of months

now

• 458=38x+40
• 458-40=38x
• 418=38x
• x=11

11 months have passed

Answer 2

11 months

Explanation:

Given:

• Registration fee = $40
• Fee per month = $38
• Total paid to gym = $458

Let x = number of months

⇒ Registration fee + (fee per month × number of months) = total paid

⇒ 40 + 38x = 458

Subtract 40 from both sides:

⇒ 38x = 418

Divide both sides by 38:

⇒ x = 11

Therefore, 11 months have passed since you joined the gym.