# Calculus

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State the growth factor in each of the following situations.

Newspaper readership is declining by 7 1/3 % per year.

A bouncing ball rebounds to 1/3 of its previous height.

Dont know how to solve these fractions:\ I just hate working with fractions.

• Calculus -

If readership declines 7 1/3% each year, then the readership in year n+1 r(n+1) = (1-.0733333)*r(n) = 0.926666 r(n)

So, the growth factor r = 0.926666 (or 139/150)

Similarly, for the ball, height h(n+1) = 1/3 h(n) so the growth factor is 1/3.

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