Question

Grayson charges $35 per hour plus a $35 administration fee for tax preparation, lan charges $45 per hour plus a $15

administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge
more than lan?
Oh> 2
on<5
h>5

Answer 1

h < 2

Explanation:

The charges by Grayson are ...

35h +35

The charges by Ian are ...

45h +15

We want to find h for ...

Grayson > Ian

35x +35 > 45h +15 . . . . use expressions we found

20 > 10h . . . . . . . . . . . . add -15-35h

2 > h . . . . . . . . . . . . . . . divide by 10

Grayson will charge more for less than 2 hours.