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.

Respuesta :

  • 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:

11 months

Step-by-step 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.