Nancy Wallin has just purchased a new house that is in need of new flooring. The cost of Pergo Select Helsinki Birch laminate flooring is $ 6.51 per square foot if Nancy installs the flooring herself or $ 8.51 per square foot if she has the flooring installed by the flooring company.
use the measurements given on the floor plans of Nancy's house to determine the cost for the flooring in the living/dining room if
a) Nancy installs it herself.
b) Nancy has it installed by the flooring company.

Part A: Cost for the flooring is $ 4,231.50

Part B: Cost for the flooring is $ 5,531.50

Step-by-step explanation:

Step 1:

Let's calculate the area of the living/dining room, this way:

Area = 26 * 25

Area = 650 ft²

Step 2:

Let's calculate the cost of the flooring if Nancy installs it:

Cost = $ 6.51 * Area of the living/dining room

Cost = 6.51 * 650

Cost = $ 4,231.50

Step 3:

Let's calculate the cost of the flooring if the flooring company installs it:

Cost = $ 8.51 * Area of the living/dining room

Cost = 8.51 * 650

Cost = $ 5,531.50

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

where is the figure