R. L. Paint Supply sells paint and various equipment to contract workers who remodel buildings. They sell five gallon buckets of paint for $32.39 each. A contractor who is remodeling a large office needs to purchase paint and a $439.44 paint sprayer for the project. To determine how much the contractor will charge the owner for the supplies, the contractor used the following function. In this function x represents the number of five gallon buckets that will be needed. The contractor estimated that it would take 250 gallons of paint to paint the entire office building. How much money did the contractor charge the owner of the office building for supplies on this project?

A.
$1,224.00
B.
$2,058.94
C.
$1,180.06
D.
$2,102.88

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

9 x 8 divided by (5-3)=36

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is