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? y=7.75x+4; discrete y=7.75x+4; continuous y=4x+7.75; discrete y=4x+7.75; continuous

Answer 1

D. y=4x+7.75; continuous

Explanation:

Answer 2

y=4x+7.75; continuous

Explanation:

Let's get the equation first. So she needs one piece that's 7.75 inches long: that's a given.

y = 7.75

Now for each piece of yarn - and she needs 4 pieces - they will be x length. If she wanted them to be 1 inches in length, she would use 4 inches of yarn. So multiply those:

y = 7.75 + 4x

So is this graph discrete or continuous? Remember that continuous means no holes, not stopping, a nice line. Discrete means it has holes or gaps. (In science, we would call discrete "quantized.") In this case, x will be continuous, because Julie can cut any length of yarn for the 4 pieces. She need not choose an integer value. Each piece could logically be 2.5 inches, or 3.1415 inches.