Celsius to Fahrenheit Converter

The relationship between Celsius (C) and Fahrenheit (F) degrees for measuring temperature is linear. Find an equation relating C and F if [tex]0^\circ C[/tex] corresponds to [tex]32^\circ F[/tex], and [tex]100^\circ C[/tex] corresponds to [tex]212^\circ F[/tex].

Write a C program to simulate a Celsius to Fahrenheit converter.

The equation relating Celsius and Fahrenheit temperatures is F = (9/5)C + 32. A C program can be implemented to simulate the Celsius to Fahrenheit converter by using the equation and input from the user.

Explanation:

To find the equation relating Celsius and Fahrenheit temperatures, we need to determine the slope (m) and y-intercept (b) of the linear equation. We are given the points (0, 32) and (100, 212) to define the scale. Using the formula for slope, m = (y2 - y1) / (x2 - x1), we can calculate the slope as m = (212 - 32) / (100 - 0) = 180 / 100 = 9/5. Since the linear equation is in the form y = mx + b, we can substitute the slope and one of the points to find the y-intercept. Using the point (0, 32), we have the equation 32 = (9/5)(0) + b, which simplifies to b = 32. Therefore, the equation relating Celsius (C) and Fahrenheit (F) temperatures is F = (9/5)C + 32.

In the C program to simulate the Celsius to Fahrenheit converter, you can prompt the user to enter a temperature in Celsius and then use the equation F = (9/5)C + 32 to calculate the equivalent temperature in Fahrenheit. The program can then print the result.

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