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Setler79 [48]
3 years ago
10

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
Mathematics
1 answer:
patriot [66]3 years ago
6 0
The two equations for which the given number of fist is satisfied when x = 8 is plugged in are:
<span>P(x) = 13x^2 – 10x + 350
and
</span><span>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.</span>
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