Chapter 4.4, Problem 41E

Minority Population In Section 2.1, Exercise 39, we saw that the projected Hispanic population in the United States (in millions) can be approximated by the 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 the Hispanic population in the United States for the year 2015.

b. What is the instantaneous rate of change of the Hispanic population in the United States when $t=15?$ Interpret your answer.