julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. let x…

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?\n( y = 7.75x + 4 ); discrete\n( y = 7.75x + 4 ); continuous\n( y = 4x + 7.75 ); discrete\n( y = 4x + 7.75 ); continuous

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?\n( y = 7.75x + 4 ); discrete\n( y = 7.75x + 4 ); continuous\n( y = 4x + 7.75 ); discrete\n( y = 4x + 7.75 ); continuous

Answer

Explanation:

Step1: Formulate the equation

The total length (y) is the sum of the lengths of the 4 equal - length pieces ((4x)) and the 7.75 - inch piece. So, (y = 4x+7.75).

Step2: Determine the type of the graph

Since (x) represents the length of a piece of yarn, (x) can take any non - negative real value (for example, (x = 1.5), (x=\pi/2) etc. as long as it makes sense in the context of length). A continuous graph is one where the independent variable (in this case (x)) can take any value within a certain interval. A discrete graph has distinct, separate points. Here, because (x) (length of a piece of yarn) is a continuous variable (can be measured with arbitrary precision), the graph of (y = 4x + 7.75) is continuous.

Answer:

D. (y = 4x+7.75); continuous