9
QuizMultiple Choice

Solving Systems of Linear Equations: Substitution

Question 9 • FL-1200700-Mathematics for College Algebra MIS

The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars.Company A: y=0.75xCompany B: y=10+0.50x

Answer
A
6
B
8
C
30
D
40

Explanation

To find when the two companies charge the same amount, set their cost equations equal: 0.75x = 10 + 0.50x. Subtract 0.50x from both sides to get 0.25x = 10, so x = 40. The costs are equal when the team purchases 40 bars, which is choice D.

AI-written and checked against the verified answer.

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