Question

I just need help on the questions and seeing if my answers are correct.

Answer 1

Given:

John takes 8 hours to do 4 people's hair.

a.) The unit rate.

`\text{ Unit Rate = Constant of Proportionality }\rightarrow\text{ k = }(y)/(x)`

Let,

x = No. of hours ; The no. of hours the hairstylist took/invested.

y = No. of people ; This is the output of the hairstylist.

We get,

`\text{ k = }(y)/(x)\text{ }\rightarrow\text{ k = }(4)/(8)\text{ = }(1)/(2)`

Therefore, the equation in getting the no. of haircuts will be,

`\text{ y = }(1)/(2)x\text{ ; with unit rate of 1/2}`

b.) How many haircuts could John do in 2 hours. Let, x = 2.

`\text{ y = }(1)/(2)(2)\text{ }\rightarrow\text{ y = }(2)/(2)\text{ }\rightarrow\text{ y = 1}`

Therefore, John could do 1 haircut in 2 hours.

c.) How many haircuts will there be in 5 hours? Let, x = 5.

`\text{ y = }(1)/(2)(5)\text{ }\rightarrow\text{ y = }(5)/(2)\text{ }\rightarrow\text{ y = 2 }(1)/(2)\text{ or 2.5}`

Therefore, there will be 2 1/2 haircuts in 5 hours.