Question
The number of cases of flu in building 1 is representative of the following where x is number of days since the first case of the flu was reported f(x) = 14.25x^2 + 3
The number of cases of the flu in building 2 is represented by the gray where x is number of days since the first day it was reported
The graph passes through the points (0,3),(1,12),(2,48),(3,192)
Complete the table
x 0 1 2 3
Building 1
Building 2
The number of cases of the flu in building 2 is represented by the gray where x is number of days since the first day it was reported
The graph passes through the points (0,3),(1,12),(2,48),(3,192)
Complete the table
x 0 1 2 3
Building 1
Building 2
Answers
GPT-4o mini
To complete the table for both Building 1 and Building 2, we can calculate the number of flu cases in Building 1 using the function provided, \( f(x) = 14.25x^2 + 3 \), and we can list the values for Building 2 based on the points given: (0,3), (1,12), (2,48), and (3,192).
**Calculations for Building 1:**
1. For \( x = 0 \):
\[
f(0) = 14.25(0)^2 + 3 = 3
\]
2. For \( x = 1 \):
\[
f(1) = 14.25(1)^2 + 3 = 14.25 + 3 = 17.25
\]
3. For \( x = 2 \):
\[
f(2) = 14.25(2)^2 + 3 = 14.25(4) + 3 = 57 + 3 = 60
\]
4. For \( x = 3 \):
\[
f(3) = 14.25(3)^2 + 3 = 14.25(9) + 3 = 128.25 + 3 = 131.25
\]
**Assigning values to Building 2 based on provided points:**
- The values for Building 2 corresponding to \( x = 0, 1, 2, 3 \) are:
- For \( x = 0 \): 3
- For \( x = 1 \): 12
- For \( x = 2 \): 48
- For \( x = 3 \): 192
**Complete the table:**
| x | Building 1 | Building 2 |
|----|-------------|-------------|
| 0 | 3 | 3 |
| 1 | 17.25 | 12 |
| 2 | 60 | 48 |
| 3 | 131.25 | 192 |
This completes the table with the calculated values for Building 1 and the specified values for Building 2.
**Calculations for Building 1:**
1. For \( x = 0 \):
\[
f(0) = 14.25(0)^2 + 3 = 3
\]
2. For \( x = 1 \):
\[
f(1) = 14.25(1)^2 + 3 = 14.25 + 3 = 17.25
\]
3. For \( x = 2 \):
\[
f(2) = 14.25(2)^2 + 3 = 14.25(4) + 3 = 57 + 3 = 60
\]
4. For \( x = 3 \):
\[
f(3) = 14.25(3)^2 + 3 = 14.25(9) + 3 = 128.25 + 3 = 131.25
\]
**Assigning values to Building 2 based on provided points:**
- The values for Building 2 corresponding to \( x = 0, 1, 2, 3 \) are:
- For \( x = 0 \): 3
- For \( x = 1 \): 12
- For \( x = 2 \): 48
- For \( x = 3 \): 192
**Complete the table:**
| x | Building 1 | Building 2 |
|----|-------------|-------------|
| 0 | 3 | 3 |
| 1 | 17.25 | 12 |
| 2 | 60 | 48 |
| 3 | 131.25 | 192 |
This completes the table with the calculated values for Building 1 and the specified values for Building 2.