Question

1-39. Jill needs to cut a smaller piece from a 30-foot length of lumber. Create multiplerepresentations (table, graph, and equation) for the function with x-values that are the length of thepiece Jill cuts off and y-values that are the length of the piece that is left Which representationbest portrays the situation? Why? Explain. Homework Helptoyer.

Answer 1

Let's cal x the length of the piece that Jill cut off and y the length of the piece that is left.

So, we can represent the relation between x and y using the following equation:

y = 30 - x

It means that the length of the pice that is left is 30 ft less the length of the piece that is cut off.

At the same way, we can make a graph like:

Finally, a table that represents the relation is:

x y

0 30

10 20

20 10

30 0

Answer: The representation that best portrays the situation is the equation because we can calculate the exact value of y for every value of x. For example, if Jill cut off 15.7 ft of the piece, the length of the piece that left can be calculated as:

y = 30 - 15.7 = 14.3 ft