According to the National Highway Traffic Safety Administration, the number of individuals arrested A(t) for driving under the influence of alcohol as a function of their age t is indicated in Table 1. Use the data in Table 1 to: (I) Estimate the average rate of change in the number of arrests (per 100,000 drivers) for driving under the influence of alcohol between the ages of 18 and 26. (II) Estimate the instantaneous rate of change at the age of 40 and interpret your
answer.
Table 1
Age
(years)
Number of
Arrests
(per 100,000)
14 113.00
16 308.77
18 421.32
20 485.32
22 519.13
24 534.54
26 537.99
28 533.67
30 524.25
32 511.47
34 496.52
36 480.17