America is getting older. The graph shows the elderly U.S. population for ages 65–84 and for ages 85 and older in 2010, with projections for 2020 and beyond. The function f ( x ) = 5 x + 34.1 models the projected number of Americans ages 65–84, f ( x ) , in millions, x years after 2010. a. Use the function to find f ( 40 ) − f ( 10 ) . Express this difference in simplified radical from. What does this simplified radical represent? 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?
America is getting older. The graph shows the elderly U.S. population for ages 65–84 and for ages 85 and older in 2010, with projections for 2020 and beyond. The function f ( x ) = 5 x + 34.1 models the projected number of Americans ages 65–84, f ( x ) , in millions, x years after 2010. a. Use the function to find f ( 40 ) − f ( 10 ) . Express this difference in simplified radical from. What does this simplified radical represent? 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?
Solution Summary: The author explains the function of f(x) and how it represents the increase in the number of American ages.
America is getting older. The graph shows the elderly U.S. population for ages 65–84 and for ages 85 and older in 2010, with projections for 2020 and beyond.
The function
f
(
x
)
=
5
x
+
34.1
models the projected number of Americans ages 65–84,
f
(
x
)
, in millions,
x
years after 2010.
a. Use the function to find
f
(
40
)
−
f
(
10
)
. Express this difference in simplified radical from. What does this simplified radical represent?
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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