contestada

4.
Please answer the question on exponential growth or decay. Round to
if
the nearest whole number or penny if the question is concerning money
necessary
Arubber bouncy ball is dropped from a
height of 192.00 cm onto a hard flat floor.
After each bounce, the ball returns to a
height that is 20% less than the previous
maximum height. What is the maximum
height reached after the 10th bounce?

Respuesta :

Using a decaying exponential function, it is found that the maximum height reached after the 10th bounce is of 20.62 cm.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the parameters are:

A(0) = 192, r = 0.2.

Hence the maximum height after the nth bounce is:

[tex]A[n] = 192(0.8)^n[/tex]

After the 10th bounce, the maximum height in cm is of:

[tex]A[10] = 192(0.8)^10 = 20.62[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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