AlgebraMediumComparing two linear models
Algebra practice question
Gym A charges a $50 joining fee plus $20 per month. Gym B charges no joining fee and $30 per month. After how many months will the total cost of the two gyms be the same?
- A. 5Correct
- B. 2.5
- C. 10
- D. 50
Answer: A. 5
50 + 20m = 30m gives 50 = 10m, m = 5.
Why the other answers are wrong
- B. 2.5
- 2.5 divides 50 by 20, using only Gym A's rate.
- C. 10
- 10 divides 50 by 5 or a similar slip; the difference in rates is 10 per month, so 50/10 = 5.
- D. 50
- 50 is the joining fee, not a number of months.
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