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?
mc025-1.
mc025-2.
mc025-3.
mc025-4.

For any time period less than 2 hours  Ian will charge less than Grayson

Step-by-step explanation:

We have given that:

Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee

The equation we get is:

45h + 15 ≤ 35h + 35

Combine the like terms:

45h-35h  ≤  35-15

10h ≤ 20

Divide both sides by 10

10h ≤ 20/10

h ≤ 2

At 2 hours the charge is the same for both services.

For any time period less than 2 hours  Ian will charge less than Grayson

Up to 2 hours or less than 2 hours Grayson charges more than Ian.

Step-by-step explanation:

Grayson charges $35 per hour plus $35 administration fee.

Expression representing total charges for x hours = $(35h + 35)

Ian charges $45 per hour and an administration fee $15.

Expression representing charges for h hours = $(45h + 15)

If Grayson charges more than Ian then inequality will be

(35h + 35) ≥ (45h + 15)

Subtracting 15 form both the sides

35h + 35 - 15 ≥ 45h + 15 - 15

35h + 20 ≥ 45h

Now we subtract 35h from both the sides

35h + 20 - 35h ≥ 45h - 35h

10h ≤ 20

h ≤ 2

That means up to 2 hours or less than 2 hours Grayson charges more than Ian.

for this case we have the following expression:

to solve, we rewrite the expression as:

we apply double c and we have:

thus, the quotient is 48.

so, patel found a wrong ratio and the multiplication was incorrect.

option d