Question

Katie’s hair is 4 ½ x + 1 inches long. She decides to get a haircut. The barber cuts ¼ x – 2 inches off her hair. Write an expression that would represent how long Katie’s hair is when she leaves the barbershop, if simplified.

Answer 1

Katie's hair is (17x/4 +3) inches long when she leaves the barber shop.

According to the question,

We have the following information:

Katie’s hair is 4 ½ x + 1 inches long.

The barber cuts ¼ x – 2 inches off her hair.

Now, the remaining length of her hair will be obtained by subtracting the length of hair cut from the original length.

So, we have the following expression:

($4\frac{1}{2} x+1$)-(x/4-2)

9x/2+1-x/4+2

9x/2-x/4+3

Taking 4 as the least common factor:

18x-x+12/4

17x+12/4

17x/4 + 12/4

17x/4 + 3 inches

Hence, Katie's hair is (17x/4 +3) inches long when she leaves the barber shop.

To know more about Katie's hair here

brainly.com/question/8032951

#SPJ1