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? 10 + 0.3(4h) = 0.25(6h) 0.3(10) + 4h = 0.25(6h) 0.3(10 + 4h) = 0.25(6h) 0.3(14h) = 0.25(6h)

The equation which can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money is 0.3(10 + 4h) = 0.25(6h)

let

h = number of hours

$10 + $4h

30% of $0 + $4h

= 30/10(10 + 4h)

= 0.3(10 + 4h)

25% of $6h

= 25/100 × 6h

= 0.25(6h)

Equate both

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

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

Step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.