Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

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?

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)

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%

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

jimthompson5910 (jim_thompson5910):

yeah if it said "the ball loses 30% of its height each bounce", then it would work

jimthompson5910 (jim_thompson5910):

since 100% - 30% = 70%

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!