10
algebraA gym charges a $50 initiation fee and $30 per month. A competitor charges no initiation fee but $40 per month. After how many months is the competitor's gym more expensive?
A
B
C
D
Correct Answer: A
Choice A is the correct answer. Compare the total costs of both gyms.
- Gym 1 Cost:
- Gym 2 Cost:
- Condition: Gym 2 > Gym 1
- Inequality:
- Subtract 30m:
- Divide by 10:
?�� Strategic Tip: Set up an expression for each option and use the inequality symbol that matches the question ("more expensive" = ).
Choice B is incorrect because it reverses the direction (), implying the competitor is cheaper after 5 months. Choice C is incorrect because it uses the wrong value. Choice D is incorrect because it combines wrong value and wrong direction.