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Algebra / Linear equations in one variable Difficulty: Easy

A gym charges its members a onetime $dollar sign 36$ enrollment fee and a membership fee of $dollar sign 19$ 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 $dollar sign 188$ at the gym?

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Explanation

Choice C is correct. It’s given that a gym charges its members a onetime $dollar sign 36$ enrollment fee and a membership fee of $dollar sign 19$ per month. Let $x$ represent the number of months at the gym after which a member will have been charged a total of $dollar sign 188$ . 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 $19 x equals 152$ . Dividing both sides of this equation by $19$ yields $x equals 8$ . Therefore, a member will have been charged a total of $dollar sign 188$ after $8$ months at the gym.

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

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

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