A monsoon rainstorm changes the air temperature in a city by


3
3
4
degrees throughout the night.

If the storm lasted for
10
hours, how much did the air temperature change each hour?

Responses

The air temperature changed by

3
3
4
10
degrees every hour.
The air temperature changed by

3
3
4
10
degrees every hour.

The air temperature changed by

3
3
4

10
degrees every hour.
The air temperature changed by

3
3
4

10
degrees every hour.

The air temperature changed by

3
3
4

10
degrees every hour.
The air temperature changed by negative 3 and 3 fourths minus 10 degrees every hour.

The air temperature changed by

3
3
4
+
10
degrees every hour.
can i have the answer

1 answer

To find out how much the air temperature changed each hour during the 10-hour storm, you need to divide the total change in temperature by the number of hours the storm lasted.

The total change in temperature is \(-3 \frac{3}{4}\) degrees. First, we need to convert \(-3 \frac{3}{4}\) into an improper fraction:

\[ -3 \frac{3}{4} = -\left(3 \times 4 + 3\right) / 4 = -\frac{15}{4} \text{ degrees} \]

Now, divide this by the number of hours (10):

\[ \text{Change per hour} = \frac{-\frac{15}{4}}{10} = -\frac{15}{4} \times \frac{1}{10} = -\frac{15}{40} = -\frac{3}{8} \]

Thus, the air temperature changed by \(-\frac{3}{8}\) degrees every hour.

So the final answer is:

The air temperature changed by \(-\frac{3}{8}\) degrees every hour.