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Question

# The weight of DDT in a pile of contaminated soil is given by $W_{t}=1800 \times(0.95)^{t}$ grams, where t is the number of years since the soil was contaminated. Find the initial quantity of DDT which contaminated the soil.

Solution

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The weight is given as expression:

\begin{align*} W_t&=1800\cdot 0.95^t\\ t&\to \text{years} \end{align*}

We have to find the initial quantity of DDT: Thus, a)

\begin{align*} t&=0\\\\ W(0)&=1800\cdot0.95^0\\ W(0)&=1800 \end{align*}

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