A biologist took a count of the number of migrating waterfowl at a particular lake, and recounted the lake’s population of waterfowl on each of the next six weeks.

Question

Week

0

1

2

3

4

5

6

Population

635

644

719

860

1,067

1,340

1,679

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 waterfowl at the lake on week 8.

(1 point)
Responses

P(x) = 33x2 – 24x + 635; 2,555 waterfowl
P ( x ) = 33 x 2 – 24 x + 635; 2,555 waterfowl

P(x) = 38x2 + 24x + 585; 2,615 waterfowl
P ( x ) = 38 x 2 + 24 x + 585; 2,615 waterfowl

P(x) = 33x2 – 24x + 635; 2,084 waterfowl
P ( x ) = 33 x 2 – 24 x + 635; 2,084 waterfowl

P(x) = 38x2 + 24x + 585; 3,209 waterfowl

Answer 1

The correct answer is:

P(x) = 33x^2 - 24x + 635; 2,555 waterfowl