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

-18.4°F < T(°F) < 96.8°F

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is:

`T_(F) = T_(C)*(9)/(5) + 32`

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

`T_(F) = (-28C)*(9)/(5) + 32 = -18.4F`

`T_(F) = 36C*(9)/(5) + 32 = 96.8F`

So, the range in Fahrenheit is:

-18.4°F < T(°F) < 96.8°F