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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,