5
algebra

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

B

$100

C

$2.50

D

$1250

Correct Answer: A

Choice A is the correct answer. Interpret slope.

  1. Slope: 2.52.5. This means for every $1 increase in x, y increases by $2.5.
  2. Increase: If x increases by 100, y increases by 2.5×100=2502.5 \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.