Question

An electrician charges a set fee of $100 for every house call and then charges an additional hourly rate. One day, the electrician earned a total of $250 for a 2 hour job. Write an equation for the function C(t), representing the total cost of the electrician's services if the electrician spends t hours at the house working. PLZ ANSWER ASAP FREE EXTRA POINTS

Answer 1

this is easy 100/1 x =250

Answer 2

`C=75t+100`

Explanation:

Let

C(t) ---->the total cost of the electrician's services in dollars

t ---> the number of hours

we know that

The linear function in slope intercept form is equal to

`C=mt+b`

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

the y-intercept is equal to

`b=\$100` ----> set fee

we have the ordered pair (2,250)

substitute the given values

`250=m(2)+100`

Solve for m

`2m=250-100`

`2m=150`

`m=\$75\ per\ hour`

The linear function is equal to

`C=75t+100`