7
algebra

A parking garage charges $6 for the first hour and $4 for each additional hour. If Elena has $30, which inequality could determine the maximum number of additional hours hh she can park?

A

4h+6304h + 6 \leq 30

B

6h+4306h + 4 \leq 30

C

4h6304h - 6 \leq 30

D

10h3010h \leq 30

Correct Answer: A

Choice A is the correct answer. Real-world pricing problems often combine fixed and variable costs.

  1. Fixed cost: First hour costs $6
  2. Variable cost: Each additional hour costs $4, so additional hours cost 4h4h
  3. Total: 6+4h6 + 4h
  4. Constraint: "Has $30" means total 30\leq 30: 4h+6304h + 6 \leq 30

?�� Strategic Tip: Identify fixed costs (constant) vs variable costs (coefficient times variable) when setting up inequalities.

Choice B is incorrect because it reverses the costs, making $6 the per-hour rate and $4 the initial fee. Choice C is incorrect because it subtracts the fixed cost, which doesn't match the pricing adding structure. Choice D is incorrect because it adds the costs (6+4=10) and multiplies by hh, incorrectly treating both as variable.