Question

a. A population with an annual growth rate of 3% doubles roughly every ____ years.
b. A population with an annual growth rate of 4% doubles roughly every ____ years.
c. A population with an annual growth rate of 7% doubles roughly every ____ years.

Answer 1

Answer:

a.

$3*x=100\\100/3=33.(3)$

And you can round 33.(3) to 33.

b.

$4*x=100\\100/4=25$

and the final result is 25.

c.

$7*x=100\\100/7=14.29$

And you can round 14.29 to 14.

Explanation:

First of all, you have to find how many times the growth rate would multiply to get closer to 100%. So if you multiply 3 times 33 you'll get 99. So, a population with an annual growth rate of 3% doubles roughly every 33 years.

This solution is just for annual growth rate that is one year long.