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Linear equations in one variable SAT question

Math · Algebra · Easy · Answer it here, explanation included.

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?

ExplanationShow

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 $$188$ . If there are no charges other than the enrollment fee and the membership fee, the equation $36 + 19 x = 188$ can be used to represent this situation. Subtracting $36$ from both sides of this equation yields $19 x = 152$ . Dividing both sides of this equation by $19$ yields $x = 8$ . Therefore, a member will have been charged a total of $$188$ after $8$ months at the gym.

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

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

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

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Linear equations in one variable SAT question

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