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` .

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(5)/(8) inches`

Actual height of house =
`21(1)/(3) feet`

Unit rate in feet per inch:

⇒ ( Actual height )/ (Height in blueprint)

⇒
`(21(1)/(3))/(3(5)/(8))`

⇒
`((64)/(3))/((29)/(8))`

⇒
`(64(8))/(3(29))`

⇒
`(512)/(87)`

⇒
`5.885feet/inch`

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