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

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

The equation in slope intercept form that models the cost of the work performed is: y = 78x + 79It costs $ 547 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