Answer:
[tex]\text{t}=4\text{y}+7.75[/tex], the graph will be continuous.
Step-by-step 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 = [tex]5[/tex]
length of four equal pieces of yarn=[tex]\text{y}[/tex]
length of fifth piece of yarn = [tex]7.75\text{inches}[/tex]
now,
total length of yarn [tex]\text{t}[/tex] is
[tex]\text{t}=7.75+4\text{y}[/tex]
rewriting equation
[tex]\text{t}=4\text{y}+7.75[/tex]
as length of piece of yarn [tex]\text{y}[/tex] can be any real number, the graph will be continuous.
