Question

The function f(x) = 16(2)x represents the growth of a bee population every year in a remote swamp. Jennifer wants to manipulate the formula to an equivalent form that calculates two times a year, not just once a year. Which function is correct for Jennifer's purpose, and what is the new growth rate?

Answer 1

@tkhunny

Answer 2

Can't understand the formula.
\(f(x) = 16\cdot 2^{x}\), where x is an integer.

Answer 3

f(x) = 16(2)x; growth rate 200%
f(x) = 16(2)2x; growth rate 8%
f(x) = 16(1.41)x; growth rate 8%
f(x) = 16(1.41)2x; growth rate 41%

Answer 4

@tkhunny these are my options

Answer 5

You didn't answer my question. Formatting and communication are important.

1) Why would the growth rate change? We are writing a function to reproduce the previous values.

2) IF my f(x) is correct, then f(1) = 16*2 = 32 and the growth rate is 100% / year. Which formula does that?

3) \(\sqrt{2} = 1.414213652373...\) or about 1.41. Thus, \(g(x) = 16\cdot\left[\sqrt{2}\right]^{x}\), where x is in HALF YEARS produces a SEMI-ANNUAL growth rate of about 41%.

4) Very strange question.