Exponential Function Foldable

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Writing an Equation from Input-Output pairs The height h(n) of a ball dropped is an exponential function of the number of bounces n. On the first bounce, a certain ball reached a height of 15 inches. On it's second bounce, the ball reached a height of 7.5 inches. Write an equation for the height of the ball, in inches, as a function of the number of bounces.

Divide a function value by the previous function value (heights) to find the constant 1.ratio b.

2. Use the value of b and a known ordered pair to find the value of a (initial height). 3. Write your exponential function using your value of a and b.

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Use 2 points to write an equation for each function.

Divide a function value by the previous function value to find the constant ratio b. 1. 2. Use the value of b and a known ordered pair to find the value of a (initial height). 3. Write your exponential function using your value of a and b.

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