SOLUTION: Use a graphing calculator and the following scenario. The population P of a fish farm in t years is modeled by the equation P(t) = 1700/1 + 9e^−0.8t^. To the nearest tent

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Use a graphing calculator and the following scenario. The population P of a fish farm in t years is modeled by the equation P(t) = 1700/1 + 9e^−0.8t^. To the nearest tent      Log On


   

Question 1128143: Use a graphing calculator and the following scenario.
The population P of a fish farm in t years is modeled by the equation
P(t) = 1700/1 + 9e^−0.8t^.
To the nearest tenth, how long will it take for the population to reach 900?



Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


I assume the last "^" is not supposed to be there....

And you DO need parentheses. The logistic equation is NOT

P%28t%29+=+1700%2F1+%2B+9e%5E-0.8t

The equation is (I assume!)

P%28t%29+=+1700%2F%281+%2B+9e%5E-0.8t%29

As for finding the answer, YOU need to use YOUR graphing calculator. Graph the logistic function and the constant function 900 and find the x value where they intersect.