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
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>
8% of 552 is 44.16. Look at the percent sign as a decimal and move it two places to the left, that'll give you 0.08. To find 8% of 552, look at it as 0.08 multiplied by 552. After you multiply you should get 44.16.
