Constant Rate of Change Graphs

How do you know if a graph is proportional?

• It is linear

• It crosses the origin

• All graphs are proportional

• It is linear and crosses the origin

Which story matches the graph?

• The population starts at 0 and grows at a constant rate.

• The population size declines to zero.

• The population size grows at a constant linear rate for some time, then decreases at a constant linear rate for a while, and then increases at a constant linear rate.

• The population size grows at a constant rate for some time, then doesn’t change for a while, and then grows at a constant rate once again.

• The population size grows somewhat fast at first, and then the rate of growth slows.

Is the graph of the function increasing, decreasing, or constant?

• Increasing

• Decreasing

• Constant

Which graph matches the given story:

The population size grows at a constant rate for some time, then doesn’t change for a while, and then grows at a constant rate once again.

• 
• 
• 
• 

Which story matches the graph?

• The population size grows somewhat fast at first, and then the rate of growth slows.

• The population size grows at a constant linear rate for some time, then decreases at a constant linear rate for a while, and then increases at a constant linear rate slower than the original rate of increase.

• The population starts out at 0 and grows at a constant rate.

• The population size grows at a constant rate for some time, then doesn’t change for a while, and then grows at a constant rate once again.

At what intervals does the elevation remain the same?

• 0 - 2 seconds and 8 - 9 seconds

• 2 - 4 seconds and 6 - 8 seconds

• 4 - 6 seconds

• The elevation never remains the same.

The graph shows the altitude of an airplane over time. In which intervals is the graph of the function constant? Select all that apply.

• 1

• 2

• 4

• 6

• 7

Does this graph represent a linear or nonlinear relationship?

• Linear

• Nonlinear

Which graph is linear?

• Graph A

• Graph B

• Graph C

• Graph D

Which statement is true?

• Both Graphs have multiple y intercepts

• Both graphs are not functions

• The first graph is linear because it has a constant rate of change.

• The second graph is nonlinear but has a constant rate of change.