6

Set 2: Linear Functions (Intermediate)

Explanation

Answer: A

The population of a town decreases by 500 people per year. In 2020, it was 10,000. What is the population in 2025?

A.

7,5007,500

✓ Correct
B.

8,5008,500

C.

12,50012,500

D.

9,5009,500

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Linear decay. 1. Rate: −500-500. 2. Time: 2025−2020=52025- 2020 = 5 years. 3. Calculation: 10,000−500(5)=10,000−2,500=7,50010,000 - 500(5) = 10,000 - 2,500 = 7,500. Strategic Tip: Decreases mean subtract. Choice B is incorrect because only 3 years? Choice C is incorrect because added instead of subtracted. Choice D is incorrect because only 1 year.

Key Steps:

•

The correct answer is 7,5007,500

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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