Question

Janet charges an upfront fee of $20 plus $7.50 an hour for babysitting. Lisa does not charge an upfront fee, but charges $8.75 an hour. After how many hours will their charge be equal?

Answer 1

After 16 hours, the charges will be same.

Step-by-step explanation:

Given,

Janet's upfront fee = $20

Charges per hour = $7.50

Let,

x be the number of hours.

J(x) = 7.50x+20

Lisa has no upfront fee.

Charges per hour = $8.75

L(x) = 8.75x

For the charges to be equal;

J(x) = L(x)

$7.50x+20=8.75x\\20=8.75x-7.50x\\20=1.25x\\1.25x=20$

Dividing both sides by 1.25

$\frac{1.25x}{1.25}=\frac{20}{1.25}\\x=16$

After 16 hours, the charges will be same.

Keywords: function, division

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