Answer:
[tex]C=75t+100[/tex]
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
[tex]C=mt+b[/tex]
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
[tex]b=\$100[/tex] ----> set fee
we have the ordered pair (2,250)
substitute the given values
[tex]250=m(2)+100[/tex]
Solve for m
[tex]2m=250-100[/tex]
[tex]2m=150[/tex]
[tex]m=\$75\ per\ hour[/tex]
The linear function is equal to
[tex]C=75t+100[/tex]
