I got stumped on a problem from an Intermediate Algebra classrelated to exponent
ID: 3092553 • Letter: I
Question
I got stumped on a problem from an Intermediate Algebra classrelated to exponential growth and decay. How would you solve thefollowing problem?---
The National Marine Fisheries Service research concluded that thepopulation of sockeye salmon in Lake Ozette (Olympic Peninsula)declined from about 1000 in '77 to about 600 in '97. Let "t" be thenumber of years since '77 and create and exponential model for thepopulation decline in the form of P(t)_______(________)t.
---
Explanation / Answer
P(t) = P0e-rt Find r: P(20) = 600 => 1000e-r(20) = 600 => e-r(20) = 600 / 1000 = 0.6 => ln e-r(20) = ln 0.6 => -r(20) ln e = ln 0.6 => -r(20) = ln 0.6 => r = ( ln 0.6 ) / - 20 = 0.0255412812 ˜ 0.0255 => P(t) = 1000e-0.0255t Check: P(20) = 1000e-0.0255(20) = 600.495579 ˜ 600
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.