If the Fahrenheit (°F) scale is twice the Celsius (°C) scale, we can establish a relationship between the two scales.
Let's assume the temperature reading on the Celsius scale is denoted as "C," and the corresponding temperature reading on the Fahrenheit scale is denoted as "F."
According to the given information, the Fahrenheit scale is twice the Celsius scale. Mathematically, we can express this relationship as:
F = 2C
To find the corresponding readings in each scale, we can substitute the equation above into itself:
F = 2(F/2)
Simplifying this equation, we get:
F = F
This equation implies that the corresponding temperature readings in Fahrenheit and Celsius will be the same if the Fahrenheit scale is exactly twice the Celsius scale.
Therefore, any temperature reading, denoted as "x," in the Celsius scale will have the same value in the Fahrenheit scale, i.e., x°C = x°F.