The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. jackie wants to manipulate the formula to an equivalent form that calculates three times a year, not just once a year. which function is correct for jackie's purpose, and what is the new growth rate? answer options: f(x) = 4(4)^x; growth rate 400% f(x) = 4(4)^3x; growth rate 4% f(x) = 4(1.59)^3x; growth rate 59% f(x) = 4(1.59)^x; growth rate 4%

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

3 times a year

so x becomes 3x

Take log on both sides

Use log property and move exponent before log

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

so equation becomes

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C

d

step-by-step explanation:

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you