AlgebraEasy–MediumLinear models from context
Algebra practice question
A gym charges a $25 one-time signup fee plus $15 per month. Which equation gives the total cost C, in dollars, for m months of membership?
- A. C = 15m
- B. C = 25m + 15
- C. C = 15m + 25Correct
- D. C = 40m
Answer: C. C = 15m + 25
The $15/month is the rate (multiplies m); the $25 signup is a one-time constant. So C = 15m + 25. Choice B swaps the rate and the fixed fee.
Why the other answers are wrong
- A. C = 15m
- This charges $15 per month but never adds the one-time $25 signup fee.
- B. C = 25m + 15
- You swapped the two numbers: the $15 is the monthly rate that multiplies m, and the $25 is the one-time fee added on.
- D. C = 40m
- You added 25 + 15 = 40 and multiplied it all by m, which charges the signup fee every month instead of just once.
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