Linear Average Rate of Change

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

A.FGR.2.2

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year

• 8 inches per year

• 2 years

• 4 inches per year

Tags

A.FGR.2.2

Is the table pictured a linear relationship? Why or Why not

• Yes, it has a constant change

• Yes, it does not have different rates of change

• No, it has constant rate of change

• No, it does not have a constant rate of change

Tags

A.FGR.2.2

Is the table pictured a linear relationship? Why or Why not?

• Yes, it has a constant change

• Yes, it has different rates of change

• No, it has constant rate of change

• No, it does not have a constant rate of change

Tags

A.FGR.2.2

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Tags

A.FGR.2.2

 The graph below shows the relationship between hours worked and tips earned for a carhop at Sonic.  What is the ROC?

Tags

Rate of Change Graphs

Which of the following intervals has the largest average rate of change?

• [13,14]

• [13, 17]

• [16, 17]

• [16, 19]

The rate of change of two functions are being compared. One function, f(x) is represented by the equation f(x) = -5x – 1, while the other function, g(x) is represented in the table. Which is true?

• The rate of change for f(x) is less than the rate of change for g(x).

• The rate of change for g(x) is less than the rate of change for f(x).

• The rate of change for f(x) and g(x) are equal.

• The rates of change cannot be compared because f(x) is a linear function and g(x) is an exponential function.

The rate of change of two functions are being compared. One function, f(x) is represented by the equation f(x) = 3x + 2, while the other function, g(x) is represented in the table. Which is true?

• The rate of change for f(x) is less than the rate of change for g(x).

• The rate of change for g(x) is less than the rate of change for f(x).

• The rate of change for f(x) and g(x) are equal.

• The rates of change cannot be compared because f(x) is a linear function and g(x) is an exponential function.

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7