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Question

Difficulty: EasyTemperature Scales

A mechanic checks a heavy-duty engine's coolant temperature gauge, which displays a reading of 35∘C35^\circ\text{C}. What is this temperature reading in degrees Fahrenheit?

Answer: 95 ^\circ\text{F}

Answer

95
The correct answer is derived by multiplying the given Celsius value by 9/5 to adjust for the difference in degree size, and then adding 32 to account for the difference in the freezing point baselines of the two scales.

Step-by-Step Solution

1
Identify the proper conversion formula.
F=95C+32F = \frac{9}{5}C + 32
This is the mathematical relationship used to convert temperatures from the Celsius scale to the Fahrenheit scale.
2
Substitute the given Celsius value into the formula.
F=95(35)+32F = \frac{9}{5}(35) + 32
The gauge reading is exactly 35∘C35^\circ\text{C}.
3
Calculate the proportional factor.
63+3263 + 32
Dividing 35 by 5 yields 7, and multiplying 7 by 9 yields 63.
4
Add the baseline offset to find the final temperature.
95
The Fahrenheit scale offset is 32 degrees above the freezing point equivalent.

Key Concept

Celsius to Fahrenheit Conversion
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Topics

Temperature Scales

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