An electrician charges an hourly rate of $75, but also charges a fixed fee for making house calls regardless of time spend on th
e job. One day, the electrician earned a total of $450 for a 4 hour job. Write an equation for the function C ( t ) , C(t), representing the total cost of the electrician's services if the electrician spends t t hours at the house working.
2 answers:
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Answer:
y = - 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = =
= - 3
Note the line crosses the y- axis at (0, 4) ⇒ c = 4
y = - 3x + 4 ← equation of line