Quick 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 0.3 represent?
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OpenStudy (anonymous):
(A) The ball bounces to 30% of its previous height with each bounce
(B) The height at which the ball bounces at the nth bounce is 0.3 feet
(C) The ball bounces to 70% of its previous height with each bounce
(D) The height from which the ball was dropped at the nth bounce is 0.7 feet
OpenStudy (anonymous):
@jim_thompson5910 This is a quick question. Is the answer A?
jimthompson5910 (jim_thompson5910):
I don't see 0.3 in f(n) = 9(0.7)^n
OpenStudy (anonymous):
Yeah me neither. But could it be A though? Since this is decreasing, it would be by 30%
jimthompson5910 (jim_thompson5910):
when n = 0, what is f(n)
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OpenStudy (anonymous):
9
jimthompson5910 (jim_thompson5910):
and when n = 1, f(n) = ??
OpenStudy (anonymous):
6.3
jimthompson5910 (jim_thompson5910):
so what change happened from 9 to 6.3
OpenStudy (anonymous):
70%
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jimthompson5910 (jim_thompson5910):
you took 70% of 9, yes
OpenStudy (anonymous):
right
jimthompson5910 (jim_thompson5910):
that means each next height is 70% of the previous height
jimthompson5910 (jim_thompson5910):
which is why I'm thinking they meant to say 0.7 instead of 0.3
OpenStudy (anonymous):
Oh ok! Thank you! It was probably a typo
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jimthompson5910 (jim_thompson5910):
yeah if it said "the ball loses 30% of its height each bounce", then it would work