At the beginning of $1990$, the population, $P$, of a certain species of insects after a period

Question

At the beginning of $1990$, the population, $P$, of a certain species of insects after a period of $n$ years is given by $P = 40000e^{-0.05n}$. Find the population of the insects at the beginning of $1990$. at the beginning of $2015$, correct to $3$ significant figures. Sketch the graph of $P$ against $n$.

Accepted Answer

(a)(i) $P=40000$ (a)(ii) $P=11500$ (3 s.f.) (b) Decreasing exponential curve through $(0,40000)$ with asymptote $P=0$

Exponential and Logarithmic Functions - Applications of Exponential and Logarithmic Functions

Exponential and Logarithmic Functions - Applications of Exponential and Logarithmic Functions

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