14. It costs a pool cover manufacturer $0.15 per square foot for the material they use to make pool covers. If a certain circular pool requires a cover with a 24-foot diameter, find the cost for the material

$2.83

Step-by-step explanation:

Diameter of the pool = 24ft

Cost of 1 ft² = $0.15

Area of the pool=?

But the pool is a circular pool,

Area of a circle = Πr² or πd²/4

π = 3.142

Area of the pool = (π * 24) / 4

Area = (3.142 * 24) / 4

Area = 18.85ft²

If 1ft² = $0.15

18.85 = $x

x = (18.85 * 0.15) / 1

x = $2.8275 = $2.83

The cost of the pool is $2.83

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