Answer:
Choice C.
Step-by-step explanation:
We now that Brian wants the piece of fabric between 49 and 53 inches, this range is expressed like this
[tex]49<x<53[/tex]
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 [tex]4\frac{3}{4}=\frac{19}{4} ft[/tex], how much inches would be?
[tex]\frac{19}{4}ft\frac{12in}{1ft}=57in[/tex]
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, [tex]4\frac{1}{2}=\frac{9}{2}ft[/tex] how much inches would be?
[tex]\frac{9}{2}ft\frac{12in}{1ft}=54in[/tex]
Choice B is not the answer neither, because it's outside the interval.
Choice C.
[tex]4\frac{1}{4}=\frac{17}{4}ft[/tex] how much inches would be?
[tex]\frac{17}{4}ft\frac{12in}{1ft}=51in[/tex]
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.
