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

Answer:

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Step-by-step explanation:

Answer 2

Answer:

$C=75t+100$

Step-by-step 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

$C=75t+100$