If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6
Answer Details
The given equation relates the temperature in degrees Celsius (C) to the temperature in degrees Fahrenheit (F). To find C when F = 98.6, we can simply substitute F = 98.6 into the equation and solve for C.
So, we have:
F = \(\frac{9}{5}\)C + 32
98.6 = \(\frac{9}{5}\)C + 32 (substituting F = 98.6)
Subtracting 32 from both sides, we get:
66.6 = \(\frac{9}{5}\)C
Multiplying both sides by 5/9, we get:
C ≈ 37
Therefore, C is approximately equal to 37 degrees Celsius (not exactly any of the options provided).