Maria cuts 6 pieces of yarn totaling 20 feet the difference between the longest piece of yarn and shortest piece is 3/4 of a foot. On the answer sheet create a line plot of lengths of yarn that Maria could possibly use

Longer piece = 2.042 feet

Shorter piece = 1.292 feet

Step-by-step explanation:

Let L represents the longer piece of yarn and S shorter piece of yarn

The difference between longer and short piece of yarn is given as

L - S = 3/4

L = 3/4 + S         eq. 1

There are 6 longer and shorter pieces of yarn totaling 20 feet of length,

6(L+S) = 20       eq. 2

Substitute eq. 1 into eq. 2

6(3/4 + S +S) = 20

6(3/4 + 2S) = 20

9/2 + 12S = 20

12S = 20 - 9/2

12S = 31/2

S = (31/2)/12

S = 31/24 feet

S = 1.292 feet

So the shorter piece is 1.292 feet long.

Substitute the value of S into eq. 1

L - 31/24 = 3/4

L = 3/4 + 31/24

L = 49/24

L = 2.042 feet

Therefore, the longer piece is 2.042 feet long.

The combined length of both pieces

L + S = 2.042 + 1.292 = 3.334 feet

There will be 6 such pieces of length 3.334 feet.

A line plot is attached which shows the length of longer and shorter pieces of yarn and also the combined length of both pieces that can be used by Maria.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

answer: c

step-by-step explanation