Question

HI. Can you help???

Answer 1

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  

= $\frac{\textrm {Total change in Distance in feet}}{\textrm {Total change in Time in seconds }}$

Therefore, between second 5 and second 11, the average rate of change = $\frac{7 - 4}{11 - 5} = 0.5$

Between second 11 and second 15, the average rate of change = $\frac{13 - 7}{15 - 11} = 1.5$

Between second 15 and second 19, the average rate of change = $\frac{20 - 13}{19 - 15} = 1.75$

Between second 19 and second 28, the average rate of change = $\frac{24 - 20}{28 - 19} = 0.44$

Therefore, the maximum rate of change is between second 15 and second 19. (Answer)