Question

The population of beetles in an experiment is modeled by the function f(t)=20(2)t3

, where t
is the number of weeks since the start of the experiment. When will there be 640
beetles?

Enter the correct value in the box.

There will be 640______beetles in
weeks

Answer 1

There will be 640 beetles in 15 weeks

Explanation:

f(t) = 20 (2)¬t/3

where ¬ symbol stands for raise to the power

according to the question,

640 = 20 (2)¬t/3

640/20 = 2¬t/3

2¬t/3 = 32

2¬t/3 = 2¬5

t/3 = 5

t = 5*3

t = 15 weeks