Question

The temperature on Celsius scale is \(25^{\circ} \mathrm{C}\). What is the corresponding temperature on the Fahrenheit Scale? (A) \(40^{\circ} \mathrm{F}\) (B) \(45^{\circ} \mathrm{F}\) (C) \(50^{\circ} \mathrm{F}\) (D) \(77^{\circ} \mathrm{F}\)

Short answer

The corresponding temperature on the Fahrenheit scale is \(77^{\circ} \mathrm{F}\). (D)

Step-by-step solution

Write down the formula to convert Celsius to Fahrenheit

We begin by writing down the formula needed for this conversion: \(F = \frac{9}{5}C + 32\)

Substitute the given value for C

Given that the temperature in Celsius is 25ºC, we replace C with 25 in the formula: \(F = \frac{9}{5}(25) + 32\)

Calculate the temperature in Fahrenheit

Now, we perform the calculations to find the temperature in Fahrenheit: \(F = \frac{9}{5}(25) + 32 = \frac{9(25)}{5} + 32 = 45 + 32\) \(F = 77\)

Find the corresponding answer

With the knowledge that the temperature in Fahrenheit is 77ºF, we look at the answer choices and find that: (D) \(77^{\circ} \mathrm{F}\) So, the correct answer for the problem is choice (D).