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

When you add 12, 6, 4 and 2, you will get 24. 12 of the 24 teams wear red shirts, so for every 2 teams there would be 1 team wearing red.

Hope this helped!