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.

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.

P (x) = 13x^2 - 10x + 350; 917 fish

P (x) = 13x^2 - 10x + 350; 1,102 fish

P (x) = 18x^2 + 10x + 300; 1,252 fish

P (x) = 18x^2 + 10x + 300; 1,532 fish

Question

Hill

Mathematics

19 August, 03:05

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.

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.

P (x) = 13x^2 - 10x + 350; 917 fish

P (x) = 13x^2 - 10x + 350; 1,102 fish

P (x) = 18x^2 + 10x + 300; 1,252 fish

P (x) = 18x^2 + 10x + 300; 1,532 fish

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Answers (1)

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Jacob Guerra · Answer 1

The two equations for which the given number of fist is satisfied when x = 8 is plugged in are:

P (x) = 13x^2 - 10x + 350

and

P (x) = 18x^2 + 10x + 300

Now, we can only decide which is correct if we have additional information, specifically if we know the number of fish initially. If it is 350, option B is correct and if it is 300 then option D is correct.