The height of one tank of capacity 30 cubic feet is 5.0 feet. What would be the height of a tank, with an equally sized base, of capacity 27 cubic feet?

Step-by-step explanation:

The formula for the volume of a tank is

V = base × height

If we are comparing two tanks with equal bases,

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