Chapter 2.1, Problem 39E

To determine

(a)

To find:

The projected Hispanic population for 2005 and compare this to the actual value of 42.69 million for the given exponential function $h\left(t\right)=37.79{\left(1.021\right)}^t$; where $t=0$ corresponds to 2000 and $0\le t\le 50$.

To determine

(b)

To find:

The projected U.S. Asian population for 2005 and compare this to the actual value of 12.69 million for the given exponential function $a\left(t\right)=11.14{\left(1.023\right)}^t$; where $t=0$ corresponds to 2000 and $0\le t\le 50$.

To determine

(c)

To find:

The expected annual percentage increase for Hispanics and for Asians.

To determine

(d)

To find:

The projected U.S. black population for 2005 and compare this to the actual value of 12.69 million for the given linear function $b\left(t\right)=0.5116t+35.43$; where $t=0$ corresponds to 2000 and $0\le t\le 50$.

To determine

(e)

To graph:

The projected population function for Hispanics and estimate when the Hispanic, Asian, and black populations will be double its actual value for 2005.