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Part A - Humidity and Water Vapor Content

Let's begin by comparing the conditions at three different cities: Phoenix, AZ; Bismarck, ND; and Tampa, FL. Refer to the accompanying table showing temperature and dew point temperature data for each city and use this information to determine which location each of the following statements applies to.

\begin{tabular}{|l|l|l|}
\hline
City & Temperature & \begin{tabular}{l}
Dew \\
Point \\
Temp
\end{tabular} \\
\hline
\begin{tabular}{l}
Phoenix, \\
AZ
\end{tabular} & [tex]$96^{\circ} F$[/tex] & [tex]$45^{\circ} F$[/tex] \\
\hline
\begin{tabular}{l}
Tampa, \\
FL
\end{tabular} & [tex]$101^{\circ} F$[/tex] & [tex]$77^{\circ} F$[/tex] \\
\hline
\begin{tabular}{l}
Bismarck, \\
ND
\end{tabular} & [tex]$39^{\circ} F$[/tex] & [tex]$38^{\circ} F$[/tex] \\
\hline
\end{tabular}

Drag the appropriate items into their respective bins.

Sagot :

GinnyAnswer
Let's analyze the given data step-by-step for each city: Phoenix, AZ; Bismarck, ND; and Tampa, FL. The table provides the temperature and dew point temperature for each city. Using this information, we can calculate the relative humidity and decide which city corresponds to each statement.

### Data Provided:
1. Phoenix, AZ:
- Temperature: 96°F
- Dew Point Temp: 45°F

2. Tampa, FL:
- Temperature: 101°F
- Dew Point Temp: 77°F

3. Bismarck, ND:
- Temperature: 39°F
- Dew Point Temp: 38°F

### Relative Humidity Calculation:
Relative humidity (RH) can be calculated using the formula:
[tex]\[ RH = 100 - 5 \times (T - T_d) \][/tex]
where \( T \) is the temperature and \( T_d \) is the dew point temperature.

Let's compute the relative humidity for each city.

1. Phoenix, AZ:
- Temperature \( T \): 96°F
- Dew Point Temp \( T_d \): 45°F
- Relative Humidity \( RH \):
[tex]\[ RH = 100 - 5 \times (96 - 45) = 100 - 5 \times 51 = 100 - 255 = -155 \][/tex]

2. Tampa, FL:
- Temperature \( T \): 101°F
- Dew Point Temp \( T_d \): 77°F
- Relative Humidity \( RH \):
[tex]\[ RH = 100 - 5 \times (101 - 77) = 100 - 5 \times 24 = 100 - 120 = -20 \][/tex]

3. Bismarck, ND:
- Temperature \( T \): 39°F
- Dew Point Temp \( T_d \): 38°F
- Relative Humidity \( RH \):
[tex]\[ RH = 100 - 5 \times (39 - 38) = 100 - 5 \times 1 = 100 - 5 = 95 \][/tex]

### Summary of Relative Humidity for Each City:
- Phoenix, AZ: -155%
- Tampa, FL: -20%
- Bismarck, ND: 95%

### Determining Statements for Each Location:
Based on the relative humidity values, we can determine the appropriate conditions for each city.

1. Phoenix, AZ:
- Relative Humidity: -155%
- This indicates extremely dry conditions.

2. Tampa, FL:
- Relative Humidity: -20%
- This indicates relatively dry conditions compared to Phoenix, but still not humid.

3. Bismarck, ND:
- Relative Humidity: 95%
- This indicates nearly saturated air, very humid conditions.

### Conclusion:
- Phoenix, AZ has extremely dry air conditions.
- Tampa, FL has relatively dry air, but less dry than Phoenix.
- Bismarck, ND has nearly saturated air, indicating high humidity.
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