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

@pooja195

Answer 2

@pooja195 O_O

Answer 3

I think I know the answer but I'm not sure how to explain it lol :p

Answer 4

What is it?

Answer 5

What is it?

Answer 6

Can't give direct answers though c: Let me see how to explain it......

Answer 7

sure

Answer 8

Ok never mind I think I was wrong :p

sorrrrrrrrry ;-;

Answer 9

At least you tried ^_^

Answer 10

what did you think?

Answer 11

you've been typing for a while

Answer 12

Like for the past hour

Answer 13

Now, I'll try to express this as simple as possible...
Say we want to express that a segment with 100m of length decreases 10% of it's measure every minute, so, we will express the measure as depending with time: \(m(t)\).
And we want to express the decrease in measure, we can know the 10% of any quantity if we multiply it by 0,1. so, therefore, the model will be as follows:
\[m(t)=100-(0,1t)(100)\]
This is a way we don't have to use any exponent, but if we wanted to model it more acurrately, we can express the 90% and then take it to the power of the minutes passed, this ensures that we can know with more accuracy is:
\[m(t)=100(0.9)^t\]
This means, every minute, the segment will have 90% of the previous length it had on the past minute.