Projected Elderly United States Population Ages 65-84 |Ages 85+ 110 98.2 100 88.0 90 82.3 80 74.1 70 60 56.4 50 40 30 19.0 19.7 20 14.6 6.7 9.1 10 2020 2030 2040 2050 2060 Year Projected Population (millions)
Projected Elderly United States Population Ages 65-84 |Ages 85+ 110 98.2 100 88.0 90 82.3 80 74.1 70 60 56.4 50 40 30 19.0 19.7 20 14.6 6.7 9.1 10 2020 2030 2040 2050 2060 Year Projected Population (millions)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Question
America is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.
a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.
b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?
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