Question

PLEASE HELP!!! I don't understand it

Answer 1

Answer:

A

Step-by-step explanation:

This is exponential decay; the height of the ball is decreasing exponentially with each successive drop.  It's not going down at a steady rate.  If it was, this would be linear.  But gravity doesn't work on things that way.  If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height.  The form of this equation is

$y=a(b)^x$, or in our case:

$A(n)=a(b)^{n-1}$, where

a is the initial height of the ball and

b is the decimal amount the bounce decreases each time.  For us:

a = 1.5 and

b = .74

Filling in,

$A(n)=1.5(.74)^{n-1}$

If ww want the height of the 6th bounce, n = 6.  Filling that into the equation we already wrote for our model:

$A(6)=1.5(.74)^{6-1}$ which of course simplifies to

$A(6)=1.5(.74)^5$ which simplifies to

$A(6)=1.5(.22190066)$

So the height of the ball is that product.

A(6) = .33 cm

A is your answer