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Question

The Miller's are comparing babysitting services for their two children.

The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household.

Super Sitters charges a flat rate of $20 an hour per child.

For
hours of service, both babysitting services would cost the same

Answer 1

Let \( x \) be the number of hours of service.

For Babysitter's Block, the cost is: \[ \text{Cost} = 25 + 15 \cdot 2 \cdot x = 25 + 30x \] (There are 2 children, so we multiply the hourly rate by 2.)

For Super Sitters, the cost is: \[ \text{Cost} = 20 \cdot 2 \cdot x = 40x \] (Again, there are 2 children.)

Now, we set the costs equal to each other to find the number of hours of service where both costs would be the same: \[ 25 + 30x = 40x \]

To solve for \( x \), first subtract \( 30x \) from both sides: \[ 25 = 10x \]

Now, divide both sides by 10: \[ x = 2.5 \]

So, the number of hours of service where both babysitting services would cost the same is

2.5.