One degree increase on Celsius scale is equal to how many degrees increase on the Fahrenheit scale.

Solution 1

We know that the formula to convert from Fahrenheit to Celsius is  

F = 1.8 × C + 32

To solve this problem, we can choose two values of temperature.

Let's, for example, choose the freezing point (0 °C) and boiling point (100 °C) for water.

Freezing point

°F = 1.8 × 0 + 32 = 32

So, 0 degrees Celsius equals 32 degrees Fahrenheit.

Boiling point

°F = 1.8 × 100 + 32 = 212

So, 100 degrees Celsius equals 212 degrees Fahrenheit.

The increase on the Fahrenheit scale was 212 - 32 = 180.

The increase on the Celsius scale was 100 - 0 = 100.

Therefore, 180 degrees rise on the Fahrenheit scale is equal to 100 degrees rise on the Celsius scale.

We can see that for each 1.8 degree rise on the Fahrenheit scale we have one degree rise on the Celsius scale.

Solution 2

Another way you can get the answer is by analyzing the values in a Fahrenheit to Celsius Table like the one below.

Fahrenheit To Celsius Table
Fahrenheit (°F) Celsius (°C)  
-459.67 °F -273.15 °C absolute zero
32 °F 0 °C freezing point of water
50 °F 10 °C  
68 °F 20 °C  
86 °F 30 °C  
104 °F 40 °C  
122 °F 50 °C  
140 °F 60 °C  
158 °F 70 °C  
176 °F 80 °C  
194 °F 90 °C  
212 °F 100 °C boiling point of water

 

Solution 3

A third way to prove the answers above is observing that the formula is a linear equation.

F = 1.8 × C + 32

Is like

y = 1.8x + 32

Or

y = ax + b

Comparing the two equations above, we see that a = 1.8.

The coefficient a in the equation of a line is called the slope of the line.

The slope represents the variation of y with x. 

This means that for each variation os a unit of x we will have a variation of 1.8 for y