AnswersOK-Algebra II - Sem B -CA- 35031BCumulative Exam — Cumulative examQuestion 31
31
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Question 31 • OK-Algebra II - Sem B -CA- 35031B

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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