A population of ducks currently has 46 ducks in it. Past data show that the population doubles every 4 years. Which exponential function can be written to model the population

of ducks for each 4-year period?

a) P(x) = 46(4)^2x
b) P(x) 46(1/2)x
c) P(x) = 46(2)^x
d) P(x)=46(1.02)^x

c) P(x) = 46(2)^x

This function represents the population doubling every 4 years, as indicated by the base 2 in the exponential function.