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If the table below is extended to 20 days, what would be the population?





Day 
(x)
Population 
(y)


0
200


1
425


2
570


3
800


4
1035


5
1650


6
2600




620031
620032
620033
620034

11. If the table below is extended to 2020 days, what would be the population?\newline\begin{tabular}{|c|c|}\newline\hline Day (x) (x) & Population (y) (y) \\\newline\hline 00 & 200200 \\\newline\hline 11 & 425425 \\\newline\hline 22 & 570570 \\\newline\hline 33 & 800800 \\\newline\hline 44 & 10351035 \\\newline\hline 55 & 16501650 \\\newline\hline 66 & 26002600 \\\newline\hline\newline\end{tabular}\newline620031620031\newline620032620032\newline620033620033\newline620034620034

Full solution

Q. 11. If the table below is extended to 2020 days, what would be the population?\newline\begin{tabular}{|c|c|}\newline\hline Day (x) (x) & Population (y) (y) \\\newline\hline 00 & 200200 \\\newline\hline 11 & 425425 \\\newline\hline 22 & 570570 \\\newline\hline 33 & 800800 \\\newline\hline 44 & 10351035 \\\newline\hline 55 & 16501650 \\\newline\hline 66 & 26002600 \\\newline\hline\newline\end{tabular}\newline620031620031\newline620032620032\newline620033620033\newline620034620034
  1. Identify pattern in growth: Identify the pattern in the population growth from the table. Calculate the differences between consecutive days to find a pattern or rule.
  2. Calculate differences for pattern: Notice the differences are not consistent, suggesting a non-linear pattern. Assume an exponential growth pattern for simplicity, as the increases are large. Calculate the approximate rate of increase from Day 55 to Day 66.

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