1.7 Rate of Change

​1.7 - Rate of Change

Open to p. 66​

Multiple Choice

To calculate the change between two values, what operation would you use?

• Multiplication

• Division

• Addition

• Subtraction

Multiple Choice

With a table that is vertical, which of the two variables would be the x-coordinates?

• Number

• Money ($)

Multiple Choice

In a table that is vertical, which quantity would represent the y-coordinates?

• Time (min)

• Distance (mi)

​How to find rate of change in a table?

​

​How to find rate of change in graph?

​

Open Ended

(Guided Practice #1 p.68)

The table and the graph to the left show the amount of money that Mi-Ling and Daniel save each week. Who saves more each week? Explain.

Open Ended

(Guided Practice #2 p.68)

Refer to the graph. Explain what the points (0, 0) and (1, 10) represent.

Fill in the Blank

(Independent Practice #1 p. 69)

The table displays the distance that a baseball can travel in a certain amount of time. Find the rate of change.



Do not type in the label



Rate of Change =

Fill in the Blank

(Independent Practice #2 p. 69)

The table displays the cost for a certain number of items bought. Find the rate of change.



Do not type in the label!



Rate of change =

Open Ended

Explain what the points (0, 0) and (1, 9) represent.

Fill in the Blank

The graph shows the cost of purchasing t-shirts. Use the graph to find the rate of change.

Do not type in the label.

Open Ended

The Guzman and Hashimoto family each took a 4-hour trip. The distances traveled by each families are show in the graph and table to the left.

Which family averaged fewer miles per hour? Explain.

Multiple Choice

At 1:00 p.m., the water level in a pool is at 13 inches. At 1:30 p.m., the water level is at 18 inches. At 2:30 p.m., the water level is at 28 inches.

What is the constant rate of change?

• 10 inches per hour

• 5 inches per hour

• 7.5 inches per hour

• 15 inches per hour

Open Ended

The constant rate of change for the relationship shown in the table is $8 per hour. Find the missing values for x, y, and z.