Answer:
The maximum rate of change is between second 15 and second 19.
Step-by-step explanation:
See the attached table.
The table shows the total distance a spider traveled after a light was turned on.
Now, the average rate of change between two consecutive times in the table is given by
= [tex]\frac{\textrm {Total change in Distance in feet}}{\textrm {Total change in Time in seconds }}[/tex]
Therefore, between second 5 and second 11, the average rate of change = [tex]\frac{7 - 4}{11 - 5} = 0.5[/tex]
Between second 11 and second 15, the average rate of change = [tex]\frac{13 - 7}{15 - 11} = 1.5[/tex]
Between second 15 and second 19, the average rate of change = [tex]\frac{20 - 13}{19 - 15} = 1.75[/tex]
Between second 19 and second 28, the average rate of change = [tex]\frac{24 - 20}{28 - 19} = 0.44[/tex]
Therefore, the maximum rate of change is between second 15 and second 19. (Answer)
