Drag each object to show whether cost is proportional to area in the situation represented
CLEAR
CHECK
Cost (5)
Aroa (ft)
Carpeting that costs
$22 for every 3 square yards
Mulch that costs a set
amount to cover a square foot
500
400
750
600
1,000
800
1600-
1.200
Awood deck quoted at
a bulk cost for 25 square feet
Asphalt sealant that is quoted at a
set price per square foot, plus a labor fee
Cost (5)
(0,05
80
20
Area (yd)
Costis Proportional to Area
Cost is NOT Proportional to Area
Not Enough Information

the graph on the bottom right

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

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