Question

Clare's Cleaning Services will come clean your house for $15 per hour with and additional $20 service fee.
Racioppo Room Cleaners will do the same job for $25 per hour, but they do not have a service fee. At how many hours do they cost the same?

Answer 1

Given the initial information, we can set up equations. The equation for Clare’s Cleaning Services is:

y = 15x + 20

The equation for Racioppo’s Room Cleaners is:

y = 25x

Let’s substitute 2 in for x:

y = 15(2) + 20
y = 30 + 20
y = 50

y = 25(2)
y = 50

After 2 hours, the cleaning services cost the same.