Question

In 1911, the temperature in Rapid City,
South Dakota, dropped at an amazing
rate of about 3.1°F per minute. This
remarkable temperature change took
place in a span of 15 minutes. Write the
change in temperature.

Answer 1

The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F

How can the change in temperature be found from the rate of change?

The rate at which the temperature changed = 3.1 °F/min

The duration of the change in temperature = 15 minutes

The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;

$3.1 ^{\circ} F/min = \frac{ \delta T }{\delta t} = \frac{ \Delta T }{ \Delta t}$

Where;

∆T = The required change in temperature

∆t = The duration of the change = 15 minutes

Which gives;

∆T = 3.1°F/min × 15 minutes = 46.5 °F

• The change in temperature, ∆T = 46.5 °F

Learn more about the rate of change of a variable here:

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