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

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?

First quadrant, decreasing line, passing through the points, (0, comma 30) & (30, comma 0).

What is the -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.