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Jill needs to cut a piece off of a 30-foot length of lumber. Create multiple representations (xy table, graph, and equation) for the function with x-values that are the length of the piece Jill cuts off and y-values that are the length of the piece that is left over. Which representation best portrays the situation? Why? Explain. Homework Help ✎

Make a table.

What input and output values represent the length of the lumber before she cuts it?

Draw a graph. What is the slope?

What is the y-intercept? What is the equation?

Decide which representation best shows that when she cuts off a longer piece, the remaining piece is shorter,
and explain your reasoning.