SOLUTION: 52. A herd of 204 African gazelles is introduced into a wild animal park. The population of the gazelles, P(t), after t years is given by P(t) = -0.7t^3 + 18.7T^2 - 69.5T + 204, wh

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 52. A herd of 204 African gazelles is introduced into a wild animal park. The population of the gazelles, P(t), after t years is given by P(t) = -0.7t^3 + 18.7T^2 - 69.5T + 204, wh      Log On


   

Question 57087This question is from textbook Applied College Algebra
: 52. A herd of 204 African gazelles is introduced into a wild animal park. The population of the gazelles, P(t), after t years is given by P(t) = -0.7t^3 + 18.7T^2 - 69.5T + 204, where 0 < t < or equal to 18.
a. Use a graph of P to determine the absolute minimum gazelle population (rounded to the nearest single gazelle) that is attained during this time period.
b. Use a graph of P to determine the absolute maximum gazelle population (rounded to the nearest single gazelle) that is attained during this time period. This question is from textbook Applied College Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A herd of 204 African gazelles is introduced into a wild animal park. The population of the gazelles, P(t), after t years is given by P(t) = -0.7t^3 + 18.7T^2 - 69.5T + 204, where 0 < t < or equal to 18.
a. Use a graph of P to determine the absolute minimum gazelle population (rounded to the nearest single gazelle) that is attained during this time period.
I graphed the equation using a TI-83 and found the minimum to be 134 gazelle.
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b. Use a graph of P to determine the absolute maximum gazelle population (rounded to the nearest single gazelle) that is attained during this time period.
The absolute maximum number on the interval 0 is P(18)=929 gazelle,
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Cheers,
Stan H.