For a few months, the function f(x) = 15(3)^x represented the number of bees in a new hive x months from the time it was started

Question

2 years ago

13

For a few months, the function f(x) = 15(3)^x represented the number of bees in a new hive x months from the time it was started

. How did the number of bees change each month?
A. The number increased by 15 each month.
B. The number increased by 3 each month.
C. The number tripled each month.
D. The number increased by a factor of 15 each month.

Mathematics

2 answers:

Brut [27] · Answer 1 · 2022-08-09T08:21:43+03:00

Brut [27]2 years ago

6 0

I had the same problem. It's C.

Artyom0805 [142] · Answer 2 · 2022-08-09T10:16:30+03:00

Answer: C. The number tripled each month.

Step-by-step explanation:

The general form of exponential function over time 'x' is given by :-

$f(x)=A(b)^x$ , where A is the initial value and b is the multiplicative rate of change.

The given exponential function : $f(x)=15(3)^x$

After comparing to the general form of exponential function , we have

The multiplicative rate of change of function : 3 [whole number]

It implies the number of bees tripled each month.