Question

The formula to convert temperatures from degrees Fahrenheit to degrees Celsius is: C = 5/9 * (F - 32). Determine the inverse of the function and use it to convert 10 degrees Celsius to its equivalent Fahrenheit temperature.

a) F = 9/5 * (C + 32)
b) F = 5/9 * (C + 32)
c) F = (C - 32) / (5/9)
d) F = (C + 32) / (9/5)

Answer 1

The inverse function for converting Celsius to Fahrenheit is F = 9/5 * C + 32. Using this, 10 degrees Celsius is equivalent to 82 degrees Fahrenheit.

Step-by-step explanation:

The student's question is asking for the inverse function to convert temperatures from degrees Celsius to degrees Fahrenheit and to then convert 10 degrees Celsius to Fahrenheit using the correct inverse function. The formula for converting degrees Fahrenheit (F) to degrees Celsius (C) is C = 5/9 * (F - 32). To find the inverse of this function, we swap C and F and solve for F, which gives us F = (9/5 * C) + 32. Therefore, the correct inverse function is: F = 9/5 * C + 32. Using this function to convert 10 degrees Celsius into Fahrenheit, we get F = (9/5 * 10) + 32 = 50 + 32 = 82 degrees Fahrenheit.