Question

A conversion chart gives the following steps to convert Celsius temperatures to Fahrenheit temperatures:

a. Multiply by 9.
b. Divide by 5.
c. Add 32. If f represents a Fahrenheit temperature and c represents the corresponding Celsius temperature, write an equation that gives the function that describes these steps. The required equation that gives the function is

a. F = (9/5)C + 32

b. F = (5/9)(C + 32)

c. F = 5C/9 + 32

d. F = 9C/5 + 32

Answer 1

The correct equation to convert Celsius temperatures to Fahrenheit temperatures is F = (9/5)C + 32. This equation encapsulates the conversion steps of multiplying the Celsius temperature by 9, dividing by 5, and then adding 32.

Step-by-step explanation:

A student asked how to convert Celsius temperatures to Fahrenheit temperatures using an equation that captures the steps given in a conversion chart. The correct equation that represents the conversion from Celsius (c) to Fahrenheit (f) is:

F = (9/5)C + 32

This equation can be derived by following these steps: (a) multiply the Celsius temperature by 9, (b) divide this result by 5, and then (c) add 32 to the result to obtain the temperature in Fahrenheit. When these operations are put together, the multiplication and division can be combined into a single step of multiplying by 9/5 (since multiplying by 9 and then dividing by 5 is the same as multiplying by 9/5). Afterwards, one adds 32 to finalize the conversion. Therefore, the correct equation from the options provided that describes the function for converting Celsius to Fahrenheit is option (a): F = (9/5)C + 32.