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