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

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.