Chapter 2.2, Problem 77E

Minority Population The U.S. Census Bureau has reported that the United States is becoming more diverse. In Exercise $39$of the previous section, the projected Hispanic population (in millions) was modeled by the exponential function

$h\left(t\right)={37.79\left(1.021\right)}^t$

where $t=0$ corresponds to $2000$ and $0\le t\le 50$.Source: U.S. Census Bureau.

a. Estimate in what year the Hispanic population will double the $2005$ population of $42.69$ million. Use the algebra of logarithms to solve this problem.

b. The projected U.S. Asian population (in millions) was modeled by the exponential function

$a\left(t\right)=11.14\left(1.023\right)t$,

Where $t=0$ corresponds to $2000$ and $0\le t\le 50$ .Estimate in what year the Asian population will double the $2005$ population of $12.69$ million.