A building is 24 feet tall and 40 feet wide. If a scale model of this building is 10 inches wide, how tall is the model?

The model is 6 inches tall.

Step-by-step explanation:

Write and solve an equation of ratios:

10 in.         x

=

40 ft.      24 ft.

Cross-multiplication yields:

240 in = 40x, so x = 6 inches.

The model is 6 inches tall.

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