Question

Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let y represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, t? Is the graph of the equation continuous or discrete?

Answer 1

t=4y+7.75; continuous.

I hope this helps!

Answer 2

`\text{t}=4\text{y}+7.75`, the graph will be continuous.

Explanation:

Given: Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long, y represent the length of each of the equal pieces of yarn that Julie decides to cut, t represents total length of yarn.

To Find: Equation to determine the total length of yarn, and find if graph is discrete or continuous.

Solution:

total number of piece to be cut from yarn =
`5`

length of four equal pieces of yarn=
`\text{y}`

length of fifth piece of yarn =
`7.75\text{inches}`

now,

total length of yarn
`\text{t}` is

`\text{t}=7.75+4\text{y}`

rewriting equation

`\text{t}=4\text{y}+7.75`

as length of piece of yarn
`\text{y}` can be any real number, the graph will be continuous.