Question

Question 6: A lake fish population over eight years is modeled by the function below. Use the function to estimate to p(2) and p(6) , the populations in the second and sixth years.

Answer 1

p(x)= 1.96 x^3 -30x^2+196x+244

For p (2) replace x by 2 in the function and solve:

p(2)= 1.96 (2)^3 - 30 (2)^2 + 196 (2) +244

P(2)= 1.96 (8) - 30 (4) + 196 (2) + 244

P (2) = 15.68 - 120 + 392 +244

P (2) = 531.68

Same process for p (6)

p(6)= 1.96 (6)^3 - 30 (6)^2 + 196 (6) +244

p(6)= 1.96 (216) - 30 (36 ) + 196 (6) + 244

p(6) = 423.36 - 1,080 + 1,176 +244

p(6)= 763.36