Average Rate of Change

Emma, Ava, and Aria are observing Mrs. Gordon's movement. If Mrs. Gordon moved from one end of the room to the other in 2 seconds, what was her rate of movement?

• 2.5 feet per second

• .4 feet per second

• 5 feet per second

• .2 feet per second

Liam and Noah were testing the efficiency of their new car. They noticed that the fuel level dropped significantly between the 20th and 40th minute of their journey. Can you calculate the average rate of change in fuel consumption from 20 to 40 minutes?

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Sophia, Abigail, and Michael decided to run a race. If the distance of the race is constant, find the average rate of change of their positions over the given interval. 

• 4

• 7

• 7/3

• 3/7

The average rate of change of [1, 5] is (a)   .

• -0.65
• -0.75
• 3.75
• 4

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 

• 200
• 150
• 300
• 75

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A rocket is 1.5 miles above the Earth in 20 seconds and is 8 miles above the Earth in 2 minutes. What is the rocket's rate of change in miles per second?

• 0.065 mps

• 0.361 mps

• 3.892 mps

• 4.145 mps

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Olivia is studying the speed of a car. She noticed that the car's speed changes from 0 km/h to 1 km/h. What is the average rate of change of the car's speed?

• -3 km/h

• 3 km/h

• 0 km/h

• 2 km/h

Anika, Lily, and Jackson are tracking the growth of their plants over time. They each measure the growth rate over different intervals. Which of the following intervals has the largest average rate of change in plant growth?

• Anika's plant from day 13 to 14

• Lily's plant from day 13 to 17

• Anika's plant from day 16 to 17

• Jackson's plant from day 16 to 19

The average rate of change in the population from 1900 to 1990 was (a)   .

• 175 million people/year
• 1.94 million people/year
• 2.13 million people/year
• -1 million people/year

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

• the first hour to the second hour

• the second hour to the fourth hour

• the sixth hour to the eighth hour

• the eighth hour to the tenth hour

Tags

CCSS.HSF.IF.B.4