Medicine—Nonprofit Groups: Groups such as the American Cancer Society and the American Hea...

Medicine—Nonprofit Groups: Groups such as the American Cancer Society and the American Heart Association are part of a growing number of nonprofit health and medical associations. The number of these associations from 1980 to 2011 can be modeled by the function

 f(x) = 1.17x2 + 33.46x + 1506 0 ≤ x ≤ 31

where x represents the number of years since 1980, and f(x) represents the number of nonprofit health and medical associations in the United States each year. (Source: The Encyclopedia of Associations.)

(a) Compute msec for x = 0 and Δx = 10. Interpret this value.

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(b) Now compute msec for x = 10 and Δx = 10, and msec for x = 20 and Δx = 10.

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(c) According to the results of parts (a) and (b), during which decade did the number of nonprofit health and medical associations grow the least?