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?

After 2 hours period, Grayson charges more than Ian.

Step-by-step explanation:

Let h represents the number of hours of tax preparation.

Given : Grayson charges $35 per hour plus a $35 administration fee for tax preparation.

Ian charges $45 per hour plus a $15 administration fee.

Also, Total charges = Admiration fee + rate per hour × (number of hours of tax preparation)

⇒ Expression for charges done by Grayson:-

Expression for charges done by Ian:-

Required equation :-

Subtract 15 and 35 h from both sides , we get

Divide both sides by 10, we get

⇒ Any hours greater than 2 ,  Grayson charges more than Ian.

⇒ After 2 hours period, Grayson charges more than Ian.

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