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

Question

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 (blank) hours of service, both babysitting services would cost the same

Answer 1

To find the number of hours of service for which both babysitting services would cost the same, let's denote that value as "h".

For Babysitter's Block:
Cost = (Rate per child per hour * Number of children * Number of hours) + Initial fee
Cost = (15 * 2 * h) + 25
Cost = 30h + 25

For Super Sitters:
Cost = (Rate per child per hour * Number of children * Number of hours)
Cost = (20 * 2 * h)
Cost = 40h

Setting both costs equal:
30h + 25 = 40h

Simplifying:
25 = 10h

Dividing by 10 on both sides:
2.5 = h

So, for 2.5 hours of service, both babysitting services would cost the same.