SOLUTION: A biologist took a count of the number of fish in a particular lake, and recounted the lake�s population of fish on each of the next six weeks. Where the number of weeks is w and t

Question 1058487: A biologist took a count of the number of fish in a particular lake, and recounted the lake�s population of fish on each of the next six weeks. Where the number of weeks is w and the population is p.
(w,p): (0,350) (1,353) (2,382) (3,437) (4,518) (5,625) (6,758)
Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.
- I already know that the answer is P(x)=13x^2-10x+350; 917 fish. I just need to know how to get that answer.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use a general quadratic equation and solve using three of the given points.

So using (0,350),

(1,353)

1.
(2,382)

2.
Subtracting 1 from 2,

Then use either equation,

So,

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