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A ball is dropped from a height of 16 feet. The function f(x)=16(0.67)^x gives the height in feet of each bounce, where x is the bounce number. What will be the height of the second bounce rounded to the nearest tenth of a foot?

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Answer:

Step-by-step explanation:

This is an exponential function:

[tex]y=16(\frac{2}{3})^x[/tex] that tells us that the initial height of the ball is 16 feet and that after each successive bounce the ball comes up to 2/3 its previous height.  We are looking for y when x = 2, so

[tex]y=16(\frac{2}{3})^2[/tex] and

[tex]y=16(\frac{4}{9})[/tex] and

[tex]y=\frac{64}{9}[/tex] so

y = 7.1 feet

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