Question

The formula for converting Fahrenheit​ temperature, F, to​ Celsius, C, is Cequalsfive ninths (Upper F minus 32 ). If Celsius temperature ranges from negative 28degreesC to 36degrees​C, ​inclusive, what is the range for the Fahrenheit​ temperature? Use a compound inequality.

Answer 1

Answer:

-18.4°F  < T(°F) < 96.8°F

Explanation:

The formula to convert Celsius to Fahrenheit is:

$T_{F} = T_{C}*\frac{9}{5} + 32$

Replacing both temperatures in the range (-28°C and 36°C) we get:

$T_{F} = (-28C)*\frac{9}{5} + 32 = -18.4F$

$T_{F} = 36C*\frac{9}{5} + 32 = 96.8F$  

So, the range in Fahrenheit is:

-18.4°F  < T(°F) < 96.8°F