Question

The exponential function n = 3.93 × 1.34d gives the approximate u.s. population, in millions, d decades after 1790. (the formula is valid only up to 1860.) (a) what is the yearly growth factor?

Answer 1

We have the following formula:
n = 3.93 × 1.34 ^ d
With the following variable:
d= decades after 1790
The growth factor of the population for each decade is:
k = 1.34
Which means that the population grows 34% every decade.
For each year we have:
1.34 ^ (1/10)
=1.03
The annual growth factor is:
k = 1.03
Answer:
the yearly growth factor is:
k = 1.03