Set 7: Linear Functions (Intermediate)

Explanation

Answer: A

A reservoir is draining. At $t=0$ , volume is 1000. At $t=5$ , volume is 800. What is the meaning of the slope?

The water drains at 40 units per time unit

✓ Correct

The water drains at 200 units per time unit

The initial volume is 1000

The tank will be empty in 20 units of time

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Calculate slope. 1. Change: $800- 1000 = -200$ . 2. Time: 5. 3. Slope: $-200 / 5 = -40$ . 4. Meaning: Rate of change (draining 40/unit). Strategic Tip: Slope is a rate. Choice B is incorrect because total change. Choice C is incorrect because intercept. Choice D is incorrect because x-intercept.

Key Steps:

•

The correct answer is The water drains at 40 units per time unit

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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