Question

A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in weeks, and P(t) is the population of rabbits with respet to time, about how many rabbits will there be in 98 days?

(P.S. I need to know the equation for this one as well as the which numbers represent which variable. I'm studying for big exam coming up and I need help with this topic. Thanks.)

Answer 1

First, you have to find how many weeks are in 98 and to do so, you would divide it by 7. which turns out to be 14. If you divide 14 by 4 you'll find that their population will double 3 times, but not 3.5 because it is every 4 full weeks.
The equation will look like this, however, I'm not completely certain about the format. I'm using the formula for exponential growth
P(t)=r(2)^t
I did use t as weeks, but for every 4 weeks. R is the number of rabbits. If we were to input our information, we'd get:
P(3)=5(2)^3
If you work it out, you get 40 rabbits. In 14 weeks, the rabbits will double 3 times, so if we were to just figure it out without using the formula, we could double 5 which is 10, double it again, which is 20, and then double it a third time. which is 40.