Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7 point 7 5 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
A
y is equal to 7 point 7 5 x plus 4 ; continuous
B
y is equal to 7 point 7 5 x plus 4 ; discrete
C
y is equal to 4 x plus 7 point 7 5 ; continuous
D
y is equal to 4 x plus 7 point 7 5 ; discrete
Explanation
The four equal pieces each have length x, so together they measure 4x inches. Adding the existing 7.75-inch piece gives the total length y = 4x + 7.75. The graph is continuous because a piece of yarn can have any positive length, including fractional lengths. Therefore, the correct choice is “y is equal to 4x plus 7.75; continuous.”
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