If C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C = 5(F – 32). On a day when the temperature extremes recorded at a certain weather station differed by 45 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?

The number of degrees the temperature extremes differ on the  Celsius sale  25 °

Explanation:

Here we have

9 °C = 5(F-32)

On the day the temperature extremes recorded at the weather station differed by 45 ° F  we then have

F₂ - F₁ = 45

F₂ = F₁ + 45

C₁ = 5(F₁-32)/9

C₂ = 5(F₂-32)/9

C₂ - C₁ = 5(F₂-32)/9 - 5(F₁-32)/9 =  5(F₂ - F₁)/9 = 5×45/9 = 25

Therefore, the number of degrees the temperature extremes differ on the  Celsius sale = 25 °

That is the temperature on the Celsius scale increased by 25 °.

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