Tim installs 50 Square feet of his floor in 45 minutes. At this rate, how long does it take him to install 495 Square feet?

445.5 minutes

Step-by-step explanation:

If Tim installs 50 tiles in 45 minutes then he installs a tile in 0.9 minutes 0.9*495=445.5

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