The number of supporters of a volleyball team, n, grows at a rate proportional to its size, so that n'(t)- k n(t). We set t-0 in 1983 when there were 15 supporters. In 2005 there were 3600 supporters. What equation must we solve in order to find the growth constant k? O15 2005- 3600 Ⓒ15 ²2k-3600 3600 ²2 - 15 15 etk-3600 O Not enough information is given.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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The number of supporters of a volleyball team, n, grows at a rate proportional to its size, so that n'(t) = k n(t). We set t=0 in 1983 when there were 15 supporters. In 2005 there were 3600 supporters. What equation must we solve in order to find the growth constant k?
O 15 e2005k = 3600
O 15 e²2 k = 3600
3600 e22 k = 15
O 15 et k = 3600
O Not enough information is given.
Transcribed Image Text:The number of supporters of a volleyball team, n, grows at a rate proportional to its size, so that n'(t) = k n(t). We set t=0 in 1983 when there were 15 supporters. In 2005 there were 3600 supporters. What equation must we solve in order to find the growth constant k? O 15 e2005k = 3600 O 15 e²2 k = 3600 3600 e22 k = 15 O 15 et k = 3600 O Not enough information is given.
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