Question

Moving Company A charges a flat fee of $1200 plus $18 and hour. Company B charges $900 plus $23 an hour. After how many hours would the price be the same regard-less of which company was chosen?

Answer 1

We need to create two expressions, then equate them in order to find the numbers of hours.

Let X = Number of hours

Let 1200+18x = Company A (Flat Fee + Hourly Rate*Hours)

Let 900+23x = Company B

`1200+18x=900+23x\\300+18x=23x\\300=5x\\60=x`

After 60 hours, the prices will be the same