2
algebra

A car rental agency charges $30 per day plus $0.15 per mile. If you rent the car for 3 days and have a budget of $150, what is the maximum number of miles mm you can drive?

A

m400m \leq 400

B

m800m \leq 800

C

m200m \leq 200

D

m600m \leq 600

Correct Answer: A

Choice A is the correct answer. Calculate fixed costs first.

  1. Fixed Cost: 3 days ×\times $30/day = $90
  2. Variable Cost: $0.15 per mile (0.15m0.15m)
  3. Total Cost: 90+0.15m90 + 0.15m
  4. Inequality: 90+0.15m15090 + 0.15m \leq 150
  5. Subtract 90: 0.15m600.15m \leq 60
  6. Divide by 0.15: m400m \leq 400

?�� Strategic Tip:60÷0.15=6000÷15=40060 \div 0.15 = 6000 \div 15 = 400.

Choice B is incorrect because it might result from dividing 120 by 0.15 (forgetting the 3-day cost). Choice C is incorrect because it might result from dividing 30 by 0.15. Choice D is incorrect because it might result from dividing 90 by 0.15.