Question

This table shows the population of the United States from 1790 to 1880, in millions of people. Let t=0 correspond to the year 1790. Use a calculator to find an exponential model to fit the data.

Answer 1

Answer:

Explanation:

The first term is 3.9 which corresponds to 1790 and t = 0

The next term is 5.3

The growth rate is 53/39

The next term is 7.2

Which changes the growth rate to 72/53

The next term is 9.6

and the growth rate changes again to 96/72

For us to write this as an exponential function, the growth rate has to be constant.