### Home > CCA2 > Chapter 1 > Lesson 1.1.2 > Problem1-19

1-19.

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?

$\frac { x } { y } \left| \begin{array} { c c c c } { 0 } & { 1 } & { 6 } & { 20 } \\ \hline y & { 30 } & { 29 } & { 24 } & { 10 } \end{array} \right.$

Draw a graph. What is the slope?

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

$y=30−x$

Decide which representation best shows that when she cuts off a longer piece, the remaining piece is shorter,