Q:

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 represent the number of hours of tax preparation, for what number of hours does Grayson charge more than Ian?

Accepted Solution

A:
Answer:Here, h represents the number of hours for which Grayson charges more than Ian,Grayson charges $35 per hour plus a $35 administration fee for tax preparation.Thus, the charges of Grayson after h hours = ( 35h + 35 ) dollars,Also,  Ian charges $45 per hour plus a $15 administration fee,Thus, the charges of Ian after x hours = ( 45x + 15 ) dollars,⇒ 35h + 35 > 45x + 15⇒ 35 - 15 > 45x - 35x⇒ 20 > 10x⇒ 2 > xHence, for the hours less than 2 ( and more than equal to 0 ) Grayson charge more than Ian.