AnswersS1S-OC Pre-Calculus A E3700 - AGPerformance Task: Modeling with Sinusoidal Functions — Cumulative examQuestion 21
21
RCMultiple Choice

Performance Task: Modeling with Sinusoidal Functions — Cumulative exam

Question 21 • S1S-OC: Pre-Calculus A (E3700 - AG)

The quadratic regression equation y = –0.1x2 + 143.99x – 13,242.84 models expected company profits in terms of the number of pairs of shoes sold.Based on the regression equation, approximately how much profit can the company expect if it sells 400 pairs of shoes?

Answer
A
$28,400
B
$28,400
C
$41,600
D
$41,600
E
$44,300
F
$44,300
G
$60,400
H
$60,400

Explanation

Substitute x = 400 into the equation: y = −0.1(400²) + 143.99(400) − 13,242.84. This gives −16,000 + 57,596 − 13,242.84 = 28,353.16, or approximately $28,400. That matches choice A, $28,400.

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