What Celsius temperature will the Fahrenheit thermometer be 4-times more than on the Celsius thermometer?
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To find the Celsius temperature that corresponds to four times the reading on a Fahrenheit thermometer, we can use a formula that converts Fahrenheit to Celsius.
The formula to convert Fahrenheit to Celsius is:
C = (F - 32) × 5/9
Let's denote the Fahrenheit temperature as F and its corresponding Celsius temperature as C.
According to the condition given, the Fahrenheit temperature will be four times higher than the Celsius temperature. Mathematically, we can represent this as:
F = 4C
To solve this equation, we substitute the value of F in terms of C:
4C = (C - 32) × 5/9
Now, let's solve the equation step by step:
4C = (5/9)C - (160/9)
Combining like terms:
(4 - 5/9)C = -160/9
(36/9 - 5/9)C = -160/9
(31/9)C = -160/9
Multiplying both sides by 9/31 to isolate C:
C = (-160/9) × (9/31)
C = -160/31
Therefore, the Celsius temperature for which the Fahrenheit temperature will be four times higher is approximately -5.161 Celsius.