The U.S. Department of Health and Human Services provides a summary of the number and rate of abortions for the period 1990–2006. Based on these data, the United States abortion rate (number of abortions per 1000 women) can be estimated by the linear function R(x) = −0.58x + 23.9 where x is the year since 1990 and R(x) is the abortion rate. (a) Based on this function, is the rate increasing or decreasing? The slope is     , so the rate is     . (b) Find the estimated abortion rate for 2007 and for 2017. 2007      abortions per 1000 women 2017      abortions per 1000 women (c) Estimate the year when the abortion rate will be 10. (Round your answer to the nearest year.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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The U.S. Department of Health and Human Services provides a summary of the number and rate of abortions for the period 1990–2006. Based on these data, the United States abortion rate (number of abortions per 1000 women) can be estimated by the linear function

R(x) = −0.58x + 23.9

where x is the year since 1990 and R(x) is the abortion rate.

(a) Based on this function, is the rate increasing or decreasing?
The slope is     , so the rate is     .

(b) Find the estimated abortion rate for 2007 and for 2017.
2007      abortions per 1000 women
2017      abortions per 1000 women

(c) Estimate the year when the abortion rate will be 10. (Round your answer to the nearest year.)
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