Mrs. Lowe charges $45 an hour with a $10 flat fee for tutoring. Mrs. Smith charges $40 an hour wit

Mrs. Lowe charges $45 an hour with a $10 flat fee for tutoring. Mrs. Smith charges $40 an hour with a $15 flat fee to tutor. Write an equation that represents the situation when the cost is the same to be tutored by Mrs. Lowe and Mrs. Smith.

Set up cost equation for Mrs. Lowe where h is the number of hours tutored:
Cost = Hourly Rate * number of hours + flat fee
Cost = 45h + 10

Set up cost equation for Mrs. Smith where h is the number of hours tutored:
Cost = Hourly Rate * number of hours + flat fee
Cost = 40h + 15

Set both cost equations equal to each other:
45h + 10 = 40h + 15 <-- This is our equation

To solve for h if the problem asks, we type this equation into our search engine and we get:
h = 1