Average Rate of Change

1

An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t2 . What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

1

The table below shows the average diameter of a pupil in a person's eye as he or she grows older.
What is the average rate of change, in millimeters per year, of a person's pupil diameter from age 20 to age 80?

1

Firing a piece of pottery in a kiln takes place at different temperatures for different amounts of time. The graph below shows the temperatures in a kiln while firing a piece of pottery after the kiln is preheated to200o F.

During which time interval did the temperature in the kiln show the greatest average rate of change?

1

Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged it four times. The table below shows the area of the photograph after each enlargement.
What is the average rate of change of the area from the original photograph to the fourth enlargement, to the nearest tenth?

1

The table below shows the year and the number of households in a building that had high-speed broadband internet access.
For which interval of time was the average rate of change the smallest?

1

The graph below models the height of a remote-control helicopter over 20 seconds during flight.
Over which interval does the helicopter have the slowest average rate of change?

1

The table below show the cost of mailing a postcard in different years. During which time interval did the cost increase at the greatest average rate?

1

A family is traveling from their home to a vacation resort hotel. The table below shows their distance from a home as a function of time.
Determine the average rate of change between hour 2 and hour 7, including units.

1

The table below represents the height of a bird above the ground during flight, with P(t) representing height in feet and t representing time in seconds.

Calculate the average rate of change from 3 to 9 seconds, in feet per second.

1

A blizzard occurred on the East Coast during January, 2016. Snowfall totals from the storm were recorded for Washington, D.C. and are shown in the table below.
Which interval, 1 a.m. to 12 noon or 6 a.m. to 3 p.m., has the greater rate of snowfall, in inches per hour? Justify your answer.

1

The graph of f(t) models the height, in feet, that a bee is flying above the ground with respect of the time it traveled in t seconds.

State all time intervals when the bee's rate of change is zero feet per second. Explain your reasoning.

1

The manager believes the set of integers would be the most appropriate domain for this mode. explain why he is incorrect.

1

State the interval for which the number of pairs of shoes sold is increasing.

1

Determine the average rate of change between the sixth and fourteenth hours.

1

An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t2 . What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

The table below shows the average diameter of a pupil in a person's eye as he or she grows older.What is the average rate of change, in millimeters per year, of a person's pupil diameter from age 20 to age 80?

Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged it four times. The table below shows the area of the photograph after each enlargement. What is the average rate of change of the area from the original photograph to the fourth enlargement, to the nearest tenth?

The table below shows the year and the number of households in a building that had high-speed broadband internet access.For which interval of time was the average rate of change the smallest?

The graph below models the height of a remote-control helicopter over 20 seconds during flight.Over which interval does the helicopter have the slowest average rate of change?

The table below show the cost of mailing a postcard in different years. During which time interval did the cost increase at the greatest average rate?

A family is traveling from their home to a vacation resort hotel. The table below shows their distance from a home as a function of time.Determine the average rate of change between hour 2 and hour 7, including units.

The table below represents the height of a bird above the ground during flight, with P(t) representing height in feet and t representing time in seconds. Calculate the average rate of change from 3 to 9 seconds, in feet per second.

A blizzard occurred on the East Coast during January, 2016. Snowfall totals from the storm were recorded for Washington, D.C. and are shown in the table below. Which interval, 1 a.m. to 12 noon or 6 a.m. to 3 p.m., has the greater rate of snowfall, in inches per hour? Justify your answer.

The graph of f(t) models the height, in feet, that a bee is flying above the ground with respect of the time it traveled in t seconds.State all time intervals when the bee's rate of change is zero feet per second. Explain your reasoning.

The manager believes the set of integers would be the most appropriate domain for this mode. explain why he is incorrect.

State the interval for which the number of pairs of shoes sold is increasing.

Determine the average rate of change between the sixth and fourteenth hours.

Explain what it means in the context of the problem.

The table below shows the average diameter of a pupil in a person's eye as he or she grows older.
What is the average rate of change, in millimeters per year, of a person's pupil diameter from age 20 to age 80?

Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged it four times. The table below shows the area of the photograph after each enlargement.
What is the average rate of change of the area from the original photograph to the fourth enlargement, to the nearest tenth?

The table below shows the year and the number of households in a building that had high-speed broadband internet access.
For which interval of time was the average rate of change the smallest?

The graph below models the height of a remote-control helicopter over 20 seconds during flight.
Over which interval does the helicopter have the slowest average rate of change?

A family is traveling from their home to a vacation resort hotel. The table below shows their distance from a home as a function of time.
Determine the average rate of change between hour 2 and hour 7, including units.

The table below represents the height of a bird above the ground during flight, with P(t) representing height in feet and t representing time in seconds.

Calculate the average rate of change from 3 to 9 seconds, in feet per second.

A blizzard occurred on the East Coast during January, 2016. Snowfall totals from the storm were recorded for Washington, D.C. and are shown in the table below.
Which interval, 1 a.m. to 12 noon or 6 a.m. to 3 p.m., has the greater rate of snowfall, in inches per hour? Justify your answer.

The graph of f(t) models the height, in feet, that a bee is flying above the ground with respect of the time it traveled in t seconds.

State all time intervals when the bee's rate of change is zero feet per second. Explain your reasoning.