2-3 : Rate of Change

2-3 : Rate of Change and Slope

New Vocabulary

• rate of change: It is a ratio that describes, on average, how much one quantity changes with respect to a change in another quantity.

• slope: It is the ratio of the change in the y-coordinates (rise) to the change in the x-coordinates (run) as you move from one point to another.

Multiple Choice

1.REMODELING The table shows how the area Number of Floor Tiles Area of Tiled Surface of a tiled surface changes with the number of floor tiles.

A. Find the rate of change.

• 16

• 8

• 32

• 4

Open Ended

he table shows how the area Number of Floor Tiles Area of Tiled Surface of a tiled surface changes with the number of floor tiles.

B. Explain the meaning of the rate of change.

Multiple Choice

2.Refer to the graph above. Without calculating, find the 2-year period that has the least rate of change. Then calculate to verify your answer

• 2000 -2002, attendance increased by 0.5 million

• 2002 -2004, attendance increased by 0.5 million

• 2000 -2002, attendance increased by 1 million

• 2004 -2006, attendance increased by 0.5 million

Multiple Choice

Determine whether each function is linear. Explain.

• Yes, there is a constant rate of change

• No, there is not a constant rate of change

Multiple Choice

Determine whether each function is linear. Explain.

• Yes, the rate of change is constant

• No, the rate of change is not constant