6
algebra

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

A

The water drains at 40 units per time unit

B

The water drains at 200 units per time unit

C

The initial volume is 1000

D

The tank will be empty in 20 units of time

Correct Answer: A

Choice A is the correct answer. Calculate slope.

  1. Change: 800−1000=−200800 - 1000 = -200.
  2. Time: 5.
  3. Slope: −200/5=−40-200 / 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.

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Linear Functions Set 98