Comparing Function Representations

Who has the greater rate of change?

• Smith has the greater rate of change with 5/4

• Harmon has the greater rate of change with 7/2

• Smith has the greater rate of change with 4/5

• They have the same rate of change.

Who charged more per cookie?

• Sonia

• Jackie

Which function has the greater rate of change?

• Function A has a greater rate of change; -0.5

• Function A has a greater rate of change; -2

• Function B has a greater rate of change; 1/5

• Function B has a greater rate of change; 5

Who has the greater rate of change?

• CJ has a greater rate of change with 13/2

• Holland has a greater rate of change with 6

• CJ has a greater rate of change with 2/13

• They have the same rate of change.

Who has the greater rate of change?

• Braden has the greater rate of change with 60/3

• Omar has the greater rate of change with 100

• Braden has the greatest rate of change with 60

• They both have the same rate of change

An ice rink rents skates by the hour. The graph shows the cost for renting child skates. The cost is a function of the time in hours.

What is the rate of change in this situation?

Mathematical Equivalence

ON

Reorder the lines in order from steepest to the least steep.

• Line C

• Line A

• Line B

When comparing two graphs, how can you determine which one has the greater rate of change.

• The steeper the line, the greater rate of change.

• The less steep the line, the greater rate of change.

• Compare the y-intercepts.

• Compare the x-intercepts.

Who has the greater rate of change?

• Tyler has the greater rate of change with 2/3

• Aubri has the greater rate of change with 3/2

• Tyler has the greater rate of change with 3/2

• They have the same rate of change.

Who has the greater rate of change?

• Hunter has the greater rate of change.

• Casey has the greater rate of change 

• They have the same rate of change