Question

Some people find the following formula easier to remember and use: 9C = 5F - 160. What is the relationship between temperature in Celsius (C) and temperature in Fahrenheit (F)?

Answer 1

The relationship between temperature in Celsius (C) and Fahrenheit (F) can be described with the formula 9C = 5F - 160. This is a rearrangement of the conversion formula C = 5/9 * (F - 32). To convert Fahrenheit to Celsius, add 160 to the Fahrenheit value, then multiply by 5 and divide by 9.

Step-by-step explanation:

The relationship between temperature in Celsius (C) and temperature in Fahrenheit (F) is represented by the formula 9C = 5F - 160. This formula is a rearrangement of the full conversion formula C = 5/9 * (F - 32), which converts from Fahrenheit to Celsius.

To convert a Fahrenheit temperature to Celsius using the mentioned formula, one would add 160 to the Fahrenheit temperature, then divide by 9 to find the Celsius temperature. Conversely, to convert from Celsius to Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32.

For example, let's use the formula 9C = 5F - 160 to convert 500°F to Celsius: 9C = 5*500 - 160, which simplifies to 9C = 2500 - 160.

Then, to find C, you would calculate (2500 - 160) / 9, which equals 260, giving the mentioned correct answer in final answer as 260°C.