GIVEN:
We are given a function which models the number of sick birds for each week. The function is as follows;
[tex]f(x)=3(4)^x[/tex]
Required;
Determine how the number of birds change each week.
Step-by-step solution;
The function given is an exponential growth function, and it shows that the number of sick birds increase exponentially each week.
The initial value is 3, that is, when x equals zero. Then when x equals 1, that is, at week 1, the number of sick birds quadruples, times 4.
At week 2, when x equals 2, the number from week 1 also quadruples, that is times 4.
Therefore,
ANSWER:
Option C is the correct answer.
The number quadrupled each week.
