Question

Ce

blueprint for a house shows the height of the house to be
er inch?
8 inches. The actual house is 21 3 feet tall, What is the unit rate in feet

Answer 1

The unit rate in feet per inch is 6.32 feet.

Explanation:

There are mistakes in questions so the correct question is below:

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

Now, to find the unit rate in feet per inch.

Height of the house in blueprint =
`3(3)/(8)\ inches=(27)/(8)\ inches.`

The actual height of the house =
`21(1)/(3)\ feet=(64)/(3)\ feet.`

As:

1 feet = 12 inches.

So, to get the actual height of the house in inches we multiply the actual height of the house by 12:

`(64)/(3)* 12`

`=(768)/(3)`

`=256\ inches.`

The actual height of the house in inches = 256 inches.

Now, to get the unit rate in feet we divide the actual height of the house in inches by height of the house in blueprint:

The actual height of the house in inches ÷ Height of the house in blueprint.

`256\ inches/ (27)/(8)\ inches`

As we change the division into multiplication the fraction changes into reciprocal.

=
`256* (8)/(27)`

`=(2048)/(27)`

Now, by using conversion factor:

As, 1 inch =
`(1)/(12)\ feet`

So,
`(2048)/(27)\ inches`

=
`(2048)/(27) * (1)/(12)`

`=(2048)/(324) \\=6.32\ feet.`

Therefore, the unit rate in feet per inch is 6.32 feet.