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

Question

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] · Answer 1 · 2022-09-26T08:05:44+03:00

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>