Question

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. sienna 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 sienna 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(10h) = 0.25(6h) )

Explanation:

Step1: Define Fernando's earnings

Fernando's total earnings: $\$10 + 4h$
His savings (30% of earnings): $0.3(10 + 4h)$

Step2: Define Brenna's earnings

Brenna's total earnings: $6h$
Her savings (25% of earnings): $0.25(6h)$

Step3: Set savings equal

Set the two savings amounts equal for the equation.
$0.3(10 + 4h) = 0.25(6h)$

Answer:

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