Question

Yesterday, the temperature at noon was 43.6 °F. By midnight, the temperature has decreased by 15.3 degrees. What was the temperature at midnight?

Answer 1

Temperature at midnight is
`-15.9` °F.

Explanation:

Given: The temperature at noon was
`43.6` °F. By midnight, the temperature has decreased by
`15.3` degrees.

To find: The temperature at midnight.

Solution:

The temperature at noon was
`43.6` °F.

Now, by midnight, temperature has decreased by
`15.3` degrees.

So, first we need to convert the temperature in °F.

We know that,
`F=(9)/(5)C+32`, where F is temperature in Fahrenheit and C is temperature in Celsius.

So,
`F=((9)/(5) * 15.3)+32`

`\implies F=59.5`

So, by midnight, temperature has decreased
`59.5` °F

Therefore, temperature at midnight is
`43.6-59.5=-15.9` °F

Hence, temperature at midnight is
`-15.9` °F.