Question

Eugene’s computer repair charges a one-time fee to run mandatory diagnostic tests on a laptop in order to determine what’s wrong, plus an hourly rate to repair it. The function c=20t+59 can be used to determine the cost, to determine a laptop after t hours. Select all that are true for the situation. Please show work, I’ll give 10 points!!
A.) the slope of the function is 59

B.) the slope of the function is 20

C.) the x-intercept of the function is 59

D.) it cost $20 per hour to repair a laptop

E.) a laptop that requires 3 hours of repair will cost $60

F.) a laptop that requires 4 hours of repair will cost $139

Answer 1

Answer:  B.) the slope of the function is 20

D.) it cost $20 per hour to repair a laptop

F.) a laptop that requires 4 hours of repair will cost $139

Step-by-step explanation:

The given function is $c=20t+59$ which represents the cost of laptop after t hours.

It is similar to the linear equation $y=mx+a$, where the slope of equation is m .

Therefore, the slope of the function is 20.

it means it cost $20 per hour to repair a laptop.

To find the x intercept, put c=0 in the equation, we get

$0=20t+59\\\Rightarrow\ x=\frac{59}{20}\neq59$

To find the y intercept, put t=0 in the equation, we get

y=59

To find the cost after 3 years, put t=3 in the equation, we get

$y=20(3)+59=60+59=\ 119$

To find the cost after 4 years, put t=4 in the equation, we get

$y=20(4)+59=80+59=139$