Aball 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?

As per the statement:

A ball is dropped from a certain height.

The function is given as:

where,

f(n) represents the height in feet

n represents the number of times the ball bounces.

for n = 0

f(0) = 9

Initial height = 9

for n = 1

For n = 2

and so on...

Since;

⇒

In general:

or

therefore, 0.7 represents the ball bounces to 70% of its previous height with each bounce.

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1