An architect's model of a building uses the scale of 1 inch = 2 1/2 feet. If theheight of the model is 20 inches, how tall will the actual building be?

Respuesta :

We can use a proportion to solve this problem.

Proportions are set up as ratios that are equivalent to each other. For instance, if you were to set up the following ratio:

[tex]\frac{1}{2}=\frac{2}{4}[/tex]

We know that this is true. We can also apply algebraic examples.

[tex]\frac{1}{2.5}=\frac{20}{x}[/tex]

We can solve for x (the measurement for how tall the building will be) using cross-multiplication and simplification.

Let's cross-multiply the fractions.

[tex]1x=50[/tex]

Then, we divide both sides by 1 to get x by itself.

[tex]\frac{1x}{1}=\frac{50}{1}[/tex]

This leaves us with x = 50, which means that the building will be 50 feet tall.