Question

Brian wants to purchase a piece of fabric that is between 49 and 53 inches long. He can choose between three pieces of fabric. Choice A is 4 3/4 feet long. Choice B is 4 1/2 feet long. Choice C is 4 1/4 feet long. Which price of fabric should Brian purchase?

Answer 1

the correct answer is c

Explanation:

Answer 2

Choice C.

Explanation:

We now that Brian wants the piece of fabric between 49 and 53 inches, this range is expressed like this

`49<x<53`

Now, to choose the right answer, we have to transform the from feet to inches and see which one falls into this interval.

Choice A.

We know that 1 ft equals 12 in. If we have
`4(3)/(4)=(19)/(4) ft`, how much inches would be?

`(19)/(4)ft(12in)/(1ft)=57in`

As you can see, the choice A is not the right answer because is more than 53.

Choice B.

We do the same process. We know that,
`4(1)/(2)=(9)/(2)ft` how much inches would be?

`(9)/(2)ft(12in)/(1ft)=54in`

Choice B is not the answer neither, because it's outside the interval.

Choice C.

`4(1)/(4)=(17)/(4)ft` how much inches would be?

`(17)/(4)ft(12in)/(1ft)=51in`

As you can observe, choice C is in the interval. Therefore, the right answer is choice C, because 51 inches is between 49 and 53 inches.