A biologist took a count of the number of fish in a particular lake and recounted the lake’s population of fish each of the next
six weeks.
Week 0 1 2 3 4 5 6
Population 350 353 382 437 518 625 758
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.
(1 point)
•P(x) = 13x2 – 10x + 350; 917 fish
•P(x) = 13x2 – 10x + 350; 1,102 fish
•P(x) = 18x2 + 10x + 300; 1,252 fish
•P(x) = 18x2 + 10x + 300; 1,532 fish
Week 0 1 2 3 4 5 6
Population 350 353 382 437 518 625 758
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.
(1 point)
•P(x) = 13x2 – 10x + 350; 917 fish
•P(x) = 13x2 – 10x + 350; 1,102 fish
•P(x) = 18x2 + 10x + 300; 1,252 fish
•P(x) = 18x2 + 10x + 300; 1,532 fish
2 answers:
The <em>correct answer</em> is:
P(x) = 13x² – 10x + 350; 1,102 fish
Explanation:
I plotted this data in a graphing calculator. The screenshot is attached. You can see the curve of the parabola in the graph. I then ran the quadratic regression; again, the screenshot is attached. It lists the values of a, b and c for the equation y = ax²+bx+c.
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Answer:
Time required to make a pile of 45 sticks next to their fire = 10 minutes
Step-by-step explanation:
This is an example of arithmetic progression.
First term = 5 - 3 + 7 = 9 sticks
Common difference = 7 - 3 = 4 sticks.
So the number of sticks next to their fire is increasing like this
9, 13, 17, 21 .............
term of AP = a + (n-1) d, we need to find n
a + (n-1) d = 45
9 + (n-1) x 4 = 45
(n-1) x 4 = 36
n - 1 = 9
n = 10
Time required to make a pile of 45 sticks next to their fire = 10 minutes