Set 11: Linear Functions

Explanation

Answer: A

Using the model $y = 5x + 40$ , if a student actually scored 85 after studying for 8 hours, what is the residual?

$5$

✓ Correct

$-5$

$0$

$10$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Residual = Actual - Predicted. 1. Predicted: $y = 80$ (from previous question). 2. Actual: $85$ . 3. Residual: $85- 80 = 5$ . Strategic Tip: A positive residual means the point is above the line. Choice B is incorrect because Predicted - Actual. Choice C is incorrect because perfect fit. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is $5$

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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