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 radical form.

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 on the previous page? By how much?

Transcribed Image Text:

Projected Population (millions) Projected Elderly United States Population Ages 65-84 Ages 85+ 110 100 90 80 70 60 56.4. 50 40 30 20 10 6.7.... 2020 74.1 9.1 2030 82.31 14.6.... 2040 Year 88.0 19.0 2050 98.2 19.7 2060