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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?

Verified Answer :

VD4L

In order to find the number of hours of work at which they will have the same amount, you will need to find both their equations and then equalize them to find when they are the same.
Let x be the number of hours

Fernando: intial 10$ = constant and we multiply x by the 4$ he takes per hour. The whole has to be multiplied by 0.30 (30%) since that is the only part he keeps
Therefore, yf=0.3(4x+10)

Brenna: same logic
yb=0.25(6x)

To find when they are equal:
yf=yb
0.3(4x+10) = 0.25(6x)

Answer:

C. 0.3(10 + 4h) = 0.25(6h)

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