Identify rate of change and slope using tables

• Identify rate of change and slope using tables and graphs. • rate of change • slope

Find Rate of Change from a Table The table shows the number of miles a car drove on a trip. Use the information to find the approximate rate of change. Change (difference) in the miles driven Change (difference) in the time Find the unit rate to determine the rate of change.

Find Rate of Change from a Table The distance increases 65 miles for every hour. Answer: So, the rate is 65 miles per hour

The table shows the number of miles a car drove on a trip. Use the information to find the rate of change. A. 11 miles per gallon B. 12 miles per gallon C. 22 miles per gallon D. 44 miles per gallon 1. 2. 3. 4. A B C D

Find Rate of Change from a Graph The graph represents the distance traveled flying in a plane. Use the graph to find the rate of change.

Find Rate of Change from a Graph To find the rate of change, pick any two points on the line, such as (1, 300) and (2, 600). Distance increases by 300 miles in 1 hour. Answer: The rate of change is 300 miles per hour.

Use the graph to find the rate of change while driving on a highway in North Carolina. A. 60 miles per hour B. 65 miles per hour C. 70 miles per hour D. 75 mile per hour 1. 2. 3. 4. A B C D

Find Rate of Change from a Graph the data. Find the slope of the line. Explain what the slope represents. Graph the data.

Find Rate of Change from a Graph Pick two points of the line such as (3, 45) and (6, 90) to find the slope. or 15 Answer: The slope is $15 and represents the amount earned per hour.

The table shows the cost of renting a bicycle. Use the graph of the data to find the slope of the line. Explain what the slope represents.

A. The slope is $4 and represents the cost per hour to rent a bicycle. B. The slope is 4 mph and represents the speed of the bicycle. C. The slope is $6 and represents the cost per hour to rent a bicycle. D. The slope is 6 mph and represents the speed of the bicycle. 1. 2. 3. 4. A B C D

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