A plumber charges a flat rate of $79 to make a house call and charges $78 for labor, let y be the total cost of the house call
plus labor and let x be the number of hours worked.
Write an equation in slope intercept form that models the cost of the work performed
Preview
How much does it cost if the plumber works for 6 hours?

Solution:

Let "y" be the total cost of the house call plus labor

Let "x" be the number of hours worked

A plumber charges a flat rate of $79 to make a house call and charges $78 for labor

The slope intercept form is given as:

y = mx + c

Therefore,

total cost of the house call plus labor = 79 + 78(number of hours worked)

y = 78x + 79

Thus the equation is found

How much does it cost if the plumber works for 6 hours?

Substitute x = 6 hours

y = 78(6) + 79

y = 468 + 79

y = 547

Thus it costs $ 547 if the plumber works for 6 hours