Set 13: Linear Inequalities

Explanation

Answer: A

An electric vehicle charging station costs $ $0.35per kWh. If a driver has \$ 28 to spend, which inequality represents the maximum kilowatt-hours $$k$ they can charge?

$0.35k \leq 28$

✓ Correct

$0.35k \geq 28$

$28k \leq 0.35$

$k + 0.35 \leq 28$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Per-unit pricing with a budget creates a maximum constraint. 1. Cost structure: $ $0.35per kWh means cost = 0.$ 35 k $2. Budget: Has \$ 28maximum to spend 3. Inequality: Cost must not exceed budget: 0. $35 k \leq 28$$ Strategic Tip: "Per unit" means multiply the rate by the number of units to get total cost. Choice B is incorrect because$ \geq 28 $would mean spending at least \$ 28, exceeding the budget limit. Choice C is incorrect because it reverses the multiplication, putting budget as the coefficient. Choice D is incorrect because it adds $k$ and 0.35, which don't have compatible units (kWh vs dollars).

Key Steps:

•

The correct answer is 0. $35k \leq 28$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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Set 13: Linear Inequalities

Detailed Explanation

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