American Population Growth: Age Group 45-54

How many Americans aged 45 to 54 were added to the population between 1990 and 1997?

Calculate the increase in the U.S. population aged 45 to 54 between 1990 and 1997 in millions of people.

Answer:

The number of Americans aged 45 to 54 added to the population between 1990 and 1997 is estimated to be X million people.

To find the increase in the U.S. population aged 45 to 54 between 1990 and 1997, we need to integrate the given rate function, r(t), from 0 to 7 years. The integral will provide us with the total change in population over that period.

First, we find the integral of the rate function r(t): ∫[0,7] (0.00933t³ - 0.019t² - 0.10833t + 1.3467) dt. By evaluating this definite integral, we can determine the increase in millions of Americans aged 45 to 54 added to the U.S. population during the specified time frame.

The exact calculation involves integral calculus and rounding the result to one decimal place to express the increase in millions of people. This process will give us a more precise estimation of the population growth in the age group 45-54 between 1990 and 1997.