**Ordering Temperatures**

To determine the increasing order of the given temperatures, we need to convert them to a common unit of measurement. Since Celsius and Kelvin are both based on the metric system, it is easier to convert Fahrenheit to Celsius and then to Kelvin.

1. **Convert Fahrenheit to Celsius:**
To convert Fahrenheit (°F) to Celsius (°C), we subtract 32 from the Fahrenheit temperature and then multiply the result by 5/9.

For the given temperature of 50°F:
(50 - 32) * 5/9 = 10°C

2. **Convert Celsius to Kelvin:**
To convert Celsius (°C) to Kelvin (K), we simply add 273.15 to the Celsius temperature.

For the temperature of 10°C:
10 + 273.15 = 283.15K

Now that we have converted all temperatures to Kelvin, we can compare them.

The ordered temperatures are:

1. 10°C (283.15K)
2. 50°F (283.15K)
3. 50°C (323.15K)

**Explanation:**

The given temperatures are 50°F, 50°C, and 50K. Let's examine each temperature individually:

1. **50°F:**
Fahrenheit is commonly used in the United States for measuring temperature. However, it is not part of the metric system. To compare it to the other temperatures, we need to convert it to Celsius.

2. **50°C:**
Celsius is widely used in most countries and is part of the metric system. It is based on the freezing and boiling points of water. To compare it to Kelvin, we can directly convert it.

3. **50K:**
Kelvin is the SI unit of temperature and is commonly used in scientific and engineering applications. It is an absolute temperature scale where 0K represents absolute zero, the point at which all molecular motion ceases. To compare it to Celsius, we can directly convert it.

After converting all temperatures to Kelvin, we find that 10°C is equivalent to 283.15K, 50°F is equivalent to 283.15K, and 50°C is equivalent to 323.15K. Therefore, the increasing order of the temperatures is 10°C (283.15K), 50°F (283.15K), and 50°C (323.15K).

50 f=10c
50k=-223c
so
50k....50f....50c