Set 9: Linear Functions (Advanced)

Explanation

Answer: A

A startup's profit is modeled by $P = 1000m - 5000$ . When does the company break even ( $P=0$ )?

$5$ months

✓ Correct

$50$ months

$10$ months

$2$ months

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set $P=0$ . 1. Equation: $0= 1000 m - 5000$ . 2. Add 5000: $5000= 1000 m$ . 3. Divide: $m = 5$ . Strategic Tip: Break-even is the x-intercept. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $5$ months

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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