Question

A blueprint for a house shows the height of the house to be 3 and 5/8 inches. The actual house is 21 and 1/3 feet tall. What is the unit rate in feet per inch?

Answer 1

unit rate in feet per inch is $5.885feet/inch$ .

Step-by-step explanation:

Here we have , A blueprint for a house shows the height of the house to be 3 and 5/8 inches. The actual house is 21 and 1/3 feet tall. We need to find that , What is the unit rate in feet per inch . Let's find out:

Height of house = $3\frac{5}{8} inches$

Actual height of house = $21\frac{1}{3} feet$

Unit rate in feet per inch:

⇒ ( Actual height )/ (Height in blueprint)

⇒ $\frac{21\frac{1}{3}}{3\frac{5}{8}}$

⇒ $\frac{\frac{64}{3}}{\frac{29}{8}}$

⇒ $\frac{64(8)}{3(29)}$

⇒ $\frac{512}{87}$

⇒ $5.885feet/inch$

Therefore, unit rate in feet per inch is $5.885feet/inch$ .