AnswersAZ-Algebra 1A MA101Solving Linear Equations: Distributive PropertyQuestion 72358
72358
AssignmentMultiple Choice

Solving Linear Equations: Distributive Property

Question 72358 • AZ-Algebra 1A (MA101)

To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money?

Answer
A
10 + 0.3(4h) = 0.25(6h)
B
0.3(10) + 4h = 0.25(6h)
C
0.3(10 + 4h) = 0.25(6h)
D
0.3(14h) = 0.25(6h)

Explanation

Fernando earns $10 for the drive plus $4 per hour, so his total earnings are 10 + 4h. He saves 30% of that total, or 0.3(10 + 4h). Brenna earns $6 per hour and saves 25%, so she saves 0.25(6h). Setting their savings equal gives 0.3(10 + 4h) = 0.25(6h), which is choice C.

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