Question a-gym-

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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A gym charges its members a onetime $36 enrollment fee and a membership fee of $19 per month. If there are no charges other than the enrollment fee and the membership fee, after how many months will a member have been charged a total of $188 at the gym?

A.

4

B.

5

C.

8

D.

10

A gym charges its members a onetime $ 36 enrollment fee and a membership fee of

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. It’s given that a gym charges its members a onetime $36 enrollment fee and a membership fee of $19 per month. Let x represent the number of months at the gym after which a member will have been charged a total of $188. If there are no charges other than the enrollment fee and the membership fee, the equation 36+19x=188 can be used to represent this situation. Subtracting 36 from both sides of this equation yields 19x=152. Dividing both sides of this equation by 19 yields x=8. Therefore, a member will have been charged a total of $188 after 8 months at the gym.

Choice A is incorrect. A member will have been charged a total of $36+19×4, or $112, after 4 months at the gym.

Choice B is incorrect. A member will have been charged a total of $36+19×5, or $131, after 5 months at the gym.

Choice D is incorrect. A member will have been charged a total of $36+19×10, or $226, after 10 months at the gym.