A population of bacteria is initially 3000. After two hours, the population is 1500. If this rate of decay continues, which of these functions represents the size of the bacteria population after
t hours?
a) P(t)=3000×0.5ᵗ
b) P(t)=3000×2ᵗ c) P(t)=3000×(0.5)²t
d) P(t)=3000×(0.5)ᵗ/2