Explanation
Correct answer: C.
Choice C is correct. It's given that a gym charges its members a onetime $ enrollment fee and a membership fee of $ per month. Let represent the number of months at the gym after which a member will have been charged a total of $. If there are no charges other than the enrollment fee and the membership fee, the equation can be used to represent this situation. Subtracting from both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, a member will have been charged a total of $ after months at the gym.
Desmos solution:
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Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. A member will have been charged a total of $, or $, after months at the gym.
Choice B
Choice B is incorrect. A member will have been charged a total of $, or $, after months at the gym.
Choice D
Choice D is incorrect. A member will have been charged a total of $, or $, after months at the gym.
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