Question

The relation between degrees Fahrenheit F and degrees Celsius C is described by the function F = -C + 32. In the following ordered pairs, the first element is degrees Celsius, and the second element is its equivalent in degrees Fahrenheit. Find the unknown measure in each ordered pair (you can write your numbers as fractions or as a decimal rounded to the nearest tenth - to one decimal place).

A) (42, 107.6).
B) (-10, 14.0).
C) (50, 14.0).
D) (9, 48.2).

Answer 1

The formula F = 9/5 * C + 32 is used to convert between Celsius and Fahrenheit. By applying this formula, we can find that the unknown Fahrenheit temperatures for the given Celsius values are 107.6°F for 42°C, 14°F for -10°C, 122°F for 50°C, and 48.2°F for 9°C.

Step-by-step explanation:

The function describing the relationship between degrees Fahrenheit (F) and degrees Celsius (C) is F = 9/5 * C + 32. This can be used to find the missing temperature in the ordered pairs provided.

• A) (42, ?): To find the Fahrenheit temperature for 42 degrees Celsius, the formula F = 9/5 * C + 32 is used. F = 9/5 * 42 + 32 = 75.6 + 32 = 107.6°F.
• B) (-10, ?): For -10 degrees Celsius, F = 9/5 * (-10) + 32 = -18 + 32 = 14°F.
• C) (50, ?): The given Fahrenheit temperature doesn't correspond to 50 degrees Celsius. To correct this ordered pair, F = 9/5 * 50 + 32 = 90 + 32 = 122°F.
• D) (9, ?): For 9 degrees Celsius, F = 9/5 * 9 + 32 = 16.2 + 32 = 48.2°F.

Using the formula, we are able to find the equivalent Fahrenheit temperatures for given Celsius values and vice versa.