Set 13: Linear Functions (Intermediate)

Explanation

Answer: A

A scatterplot shows a strong positive linear association between hours studied ( $x$ ) and test score ( $y$ ). The line of best fit is $y = 5x + 40$ . Predict the score for 8 hours of study.

$80$

✓ Correct

$85$

$90$

$75$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Substitute into the model. 1. Model: $y = 5 x + 40$ . 2. Substitute: $x = 8$ . 3. Calculate: $y = 5(8) + 40 = 40 + 40 = 80$ . Strategic Tip: Models allow us to make predictions for specific input values. Choice B is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is $80$

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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