Question

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:

f(n) = 9(0.7)n

What does the number 0.7 represent?
The ball bounces to 30% of its previous height with each bounce
The height at which the ball bounces at the nth bounce is 0.3 feet
The ball bounces to 70% of its previous height with each bounce
The height from which the ball was dropped at the nth bounce is 0.7 feet

Answer 1

@mathmate @mathlover2014

Answer 2

I think you mean
\(f(n) = 9(0.7)^n\)
If you do not use LaTeX to write the equations, you still need to write a ^ before exponents so that others know that the following digit or letter is an exponent.
You could have written f(n) = 9(0.7)^n.

The physical meaning of the various parts of this exponential equation is as follows:
h(x)=h0(b)^x
h0=initial value, for example, height of ball before the first bounce (i.e. x=0)
b=ratio of (height after each bounce) / (height before bounce)
x=number of bounces.