The function f(x)=4(2)^x represents the growth of a butterfly population every year in a remote swamp. Jan wants to manipulate the formula into an equivalent form that calculates 5 times a year, not just once a year. Which function is correct for Jan's purpose, and what is the new growth rate?

a) f(x)= 4(1.15)^x Growth rate 5%
b) f(x)=4(1.15)^5x Growth rate 15%
c) f(x)=4(2)^x Growth rate 200%
d) f(x)=4(2)^x Growth rate 5%

Thank you!

Question

The function f(x)=4(2)^x represents the growth of a butterfly population every year in a remote swamp. Jan wants to manipulate the formula into an equivalent form that calculates 5 times a year, not just once a year. Which function is correct for Jan's purpose, and what is the new growth rate?

a) f(x)= 4(1.15)^x Growth rate 5%
b) f(x)=4(1.15)^5x Growth rate 15%
c) f(x)=4(2)^x Growth rate 200% 
d) f(x)=4(2)^x Growth rate 5%

Thank you!