Question

Julie needs to cut 4 pieces of yarn, each with the same length and a piece of yarn 7.75 inches long. Let x 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,y? Is the graph of the equation continuous or discrete

Answer 1

Total length of the x inches long pieces = 4x inches

She has to cut another piece = 7.75 inches

Total length = 4x + 7.75

This is what y represent, so

y = 4x + 7.75

The graph of the equation is continuous

Answer 2

The required equation is
`y=4x+7.75` and the graph of the equation is continuous.

Explanation:

Consider the provided information.

Julie needs to cut 4 pieces of yarn,

Let x represent the length of each yarn.

Then the length of 4 pieces will be: 4x

y represents the total length of all of the yarn that Julie decides to cut

Therefore the required equation that can be used to determine the total length of all of the yarn is:

`y=4x+7.75`

Here, the graph is continuous, because the length of yarn can be any number.