6

Set 16: Linear Functions (Intermediate)

Explanation

Answer: A

A linear model predicts sales (yy) based on ad spend (xx): y=2.5x+1000y = 2.5x + 1000. If ad spend increases by $100, how much do sales increase?

A.

$250

✓ Correct
B.

$100

C.

$2.50

D.

$1250

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Interpret slope. 1. Slope: 2.55. This means for every $1increase in x, y increases by \2.5. 2. Increase: If x increases by 100, y increases by 2.5 \times 100 = 250$$. Strategic Tip: Change in y = Slope \times$ Change in x. Choice B is incorrect because it's the change in x. Choice C is incorrect because it's the slope. Choice D is incorrect because it adds the base.

Key Steps:

The correct answer is $250

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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