Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian 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 Ian?

Question

anonymous · Answer

Grayson's equation: 35h + 35.
Ian's equation: 45h + 15.

Set both equations equal to one another to figure out the number of hours Grayson charges more than Ian.

anonymous · Answer

Once you've gotten the solution, plug it back into both equations to see if Grayson charged less/more than/equal to Ian.

mathstudent55 · Answer

Grayson: 35h + 35
Ian: 45h + 15
You want to know for what values of h Grayson charges more, so you need to solve this inequality for h:
35h + 35 > 45h + 15