The function f(x) = 14(3)x represents the growth of a dragonfly population every year in a remote swamp. Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. Which function is correct for Rose's purpose, and what is the new growth rate?

f(x) = 2(3)x; growth rate 200%

f(x) = 2(1.17)7x; growth rate 117%

f(x) = 2(3)x, growth rate 2%

f(x) = 2(1.17)x; growth rate 2%

Question

The function f(x) = 14(3)x represents the growth of a dragonfly population every year in a remote swamp. Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. Which function is correct for Rose's purpose, and what is the new growth rate?

 f(x) = 2(3)x; growth rate 200%

 f(x) = 2(1.17)7x; growth rate 117%

 f(x) = 2(3)x, growth rate 2%

 f(x) = 2(1.17)x; growth rate 2%