SOLUTION: I need help with this problem The future population of a town (t) years after January 1, 1995 is described in thousands by function P(t) = 120 + 4t + 0.05t^2. Calculate the val

Algebra ->  Functions -> SOLUTION: I need help with this problem The future population of a town (t) years after January 1, 1995 is described in thousands by function P(t) = 120 + 4t + 0.05t^2. Calculate the val      Log On


   



Question 128700This question is from textbook Fundamentals of Algebric Modeling
: I need help with this problem
The future population of a town (t) years after January 1, 1995 is described in thousands by function
P(t) = 120 + 4t + 0.05t^2. Calculate the value of P(5) and explain what it means. ok here is my answer
P(t) = 120 + 4t + 0.05t^2
P(5) = 120(5) + 4(5)+ 0.05(5)^2
P(5) = 600 + 20 + .25^2
P(5) = 600 + 20 + .5
P(5) = 620.5
I know I messed up somewhere but I don't know where
This question is from textbook Fundamentals of Algebric Modeling

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
P(T)=120+4T+.05T^2
WHERE YOU MESSED UP IS YOU INCORRECTLY MULTIPLIED 120 BY 5. THERE IS NO T FACTOR ASSOCIATED WITH THE 120.
P(5)=120+4*5+.05(5)^2
P(5)=120+20+.05*25
P(5)=140+1.25
P(5)=141.25 ANSWER.
THIS PREDICTS THAT AFTER 5 YEARS THE POPULATION WILL INCREASE BY 141 PEOPLE.