Sangeetha Pulapaka
1

An exponential function is written as y = ab^{x} where a is the initial amount, b is the common growth factor/decay factor and x is the number of years.

So, if the initial amount was 800,000 the equation to represent this would be

c(y) = 800,000 \cdot \Big(\frac{1}{2}\Big)^{y} where y is the time in years.

1.If you want to write a table

At year 0, c(0) = 800,000 \cdot \Big(\frac{1}{2}\Big)^{0} =  800,000 copies.

At year 1,  c(1) = 800,000 \cdot \Big(\frac{1}{2}\Big)^{1}= 400,000 copies.

At year 2, c(2) = 800,000 \cdot \Big(\frac{1}{2}\Big)^{2} = 200,000 copies.

At year 3, c(3) = 800,000 \cdot \Big(\frac{1}{2}\Big)^{3} = 100,000 copies.

When the number of years is y,  c(y) = 800,000 \cdot \Big(\frac{1}{2}\Big)^{y}

2.Just plug in y = 6 if you want the number of copies sold at year 6, to get

c(t) = 800,000 \cdot \Big(\frac{1}{2}\Big)^{6} = 12,500 copies.

Qalaxia QA Bot
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