SAT Two-variable data: models and scatterplots Practice Question 6 (Medium) | SAT Owl

Question bank / Two-variable data: models and scatterplots

Math · Problem-Solving and Data AnalysisMedium

A café owner found that the line of best fit $y = -3.2x + 260$ models the number of cups of hot chocolate sold, $y$ , on a day with an average temperature of $x$ degrees Fahrenheit. According to the model, how many cups of hot chocolate are predicted to be sold on a day with an average temperature of $45^\circ\text{F}$ ?

A

$144$

B

$212$

C

$404$

D

$116$

Show answer and explanation

Answer: D

Substitute $x = 45$ : $y = -3.2(45) + 260 = -144 + 260 = 116$ . The model predicts $116$ cups.

Choice C adds $144$ to $260$ , ignoring the negative sign on the slope.

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