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I NEED THIS ASAP PLEASE

A ball is dropped from the height of 20 feet. the ball rebounds to 80% of his previous height. Let n represent the number of bounces of the ball.
The height of the ball after each bounce can be modeled by
A. H=20(1.80)^n

B. H=20(.80)n

C. H=20(.80)^n

D. H=20(.20)^n

Respuesta :

Luv2Teach

Answer:

Step-by-step explanation:

This is modeled after an exponential function which, at its simplest, is

[tex]y=a(b)^x[/tex] where, for us and in this particular situation, y is the final height, a is the initial height, b is the rate of growth or decline, and x is the number of bounces. We know the initial height is 20, but we need to find the rate of decline. Rewriting the formula to model a rate of decay or decline is

[tex]y=a(1-r)^x[/tex], or more closely related to our circumstances:

[tex]H=20(1-.8)^n[/tex] and simplifying that a bit:

[tex]H=20(.2)^n[/tex], choice D.

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