The number of salmon swimming upstream to spawn, N, is approximated by the function N(t) = −t³ + 3t² + 864t + 5000 6 ≤ t ≤ 20, where t represents the temperature of the water in degrees Celsius. Determine the optimal temperature to maximize the size of the salmon population.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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13.1 (Optimization)

The number of salmon swimming upstream to spawn, N, is approximated by the function
N(t) = −t³ + 3t² + 864t + 5000
6 ≤ t ≤ 20, where t represents the temperature of the water in degrees Celsius. Determine the optimal temperature to
maximize the size of the salmon population.
Transcribed Image Text:The number of salmon swimming upstream to spawn, N, is approximated by the function N(t) = −t³ + 3t² + 864t + 5000 6 ≤ t ≤ 20, where t represents the temperature of the water in degrees Celsius. Determine the optimal temperature to maximize the size of the salmon population.
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