To complete the table, we need to calculate the number of flu cases for Building 1 using the given function \( f(x) = 14.25x^2 + 3 \) and extract the values for Building 2 from the provided graph points.
Building 1 Calculation:
Using the function \( f(x) = 14.25x^2 + 3 \):
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For \( x = 0 \): \[ f(0) = 14.25(0^2) + 3 = 3 \]
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For \( x = 1 \): \[ f(1) = 14.25(1^2) + 3 = 14.25 + 3 = 17.25 \approx 17 \]
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For \( x = 2 \): \[ f(2) = 14.25(2^2) + 3 = 14.25(4) + 3 = 57 + 3 = 60 \]
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For \( x = 3 \): \[ f(3) = 14.25(3^2) + 3 = 14.25(9) + 3 = 128.25 + 3 = 131.25 \approx 131 \]
Building 2 Values:
The values from the graph points are as follows:
- For \( x = 0 \): \( 3 \)
- For \( x = 1 \): \( 12 \)
- For \( x = 2 \): \( 48 \)
- For \( x = 3 \): \( 192 \)
Completed Table
Here is the completed table with the calculated and provided values:
\[ \begin{array}{|c|c|c|} \hline x & \text{Building 1} & \text{Building 2} \ \hline 0 & 3 & 3 \ 1 & 17 & 12 \ 2 & 60 & 48 \ 3 & 131 & 192 \ \hline \end{array} \]
Note: The values for Building 1 at \( x = 1 \) and \( x = 3 \) have been rounded to the nearest whole number.