Question

the current temperature is 48F. it is expected to drop 15F each hour, in how many hours will the temperature be 36F.

Answer 1

To find out when the temperature will drop to 36°F, we can set up the situation with the following equation:

Starting temperature: 48°F
Temperature drop per hour: 15°F
Desired temperature: 36°F

We want to find the number of hours \( h \) when the temperature reaches 36°F. The equation can be set up as:

\[
48 - 15h = 36
\]

Now, we can solve for \( h \):

1. Subtract 48 from both sides:
\[
-15h = 36 - 48
\]
\[
-15h = -12
\]

2. Divide both sides by -15:
\[
h = \frac{-12}{-15} = \frac{12}{15} = \frac{4}{5}
\]

This means that it will take \(\frac{4}{5}\) of an hour to reach 36°F. This is equivalent to 48 minutes.

So, the temperature will be 36°F in 48 minutes.