elysehoughton01
35

# A population of 430,000 toads is expected to shrink at a rate of 5.5% per year. Which is the best prediction for the toad population in 14 years?

$n(t)\approx 190000 toads$Consider the exponential decay model. In general where $n(t)$ is the number of toads after time $t$ years, $\alpha$ is the initial number of toads, and $r$ is the growth rate of the toads, $\alpha = 430000$ $r=1-0.055=0.945$  [100%-5.5%] $n(t)=\alpha r^t$ $n(t)=430000\times0.945^t$ $\therefore n(14)=430000\times 0.945^{14}$ $n(t)=194766.2824...\approx 194766 toads$ Since your question is written to 2 significant figures, $n(t)\approx 190000toads$