grayson charges $35 per hour plus a $35 administration fee for tax preparation. ian charges $45 per hour…

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?\no h<2\no h>2\no h<5\no h>5

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?\no h<2\no h>2\no h<5\no h>5

Answer

Explanation:

Step1: Set up cost - functions

Grayson's cost $C_G = 35h+35$. Ian's cost $C_I=45h + 15$.

Step2: Set up inequality

We want to find when $C_G>C_I$, so $35h + 35>45h+15$.

Step3: Solve the inequality

Subtract $35h$ from both sides: $35>10h + 15$. Then subtract 15 from both sides: $20>10h$. Divide both sides by 10: $h < 2$.

Answer:

$h<2$