Question

The temperature at 9 a.m. was 13.6°C. The temperature at 9 p.m. was 6.4°C. The temperature at 3 a.m. was 23.5°C. What was the average change in temperature from 9 a.m. to 9 p.m.?

Answer 1

The average change in temperature from 9 a.m to 9 p.m is - 0.6 °$C$  per hour (negative indicates temperature decreases), if the temperature at 9 a.m was 13.6 °$C$ and the temperature at 9 p.m was 6.4 °$C$.

Step-by-step explanation:

            The given is,

                       The temperature at 9 a.m was 13.6 °$C$

                      The temperature at 9 p.m was 6.4 °$C$

                       The temperature at 3 a.m was 23.5 °$C$

Step:1

           Hours difference between 9 a.m to 9 p.m is,

                                   = 12 hours          (∵ consider a clock for this calculation)

Step:2

           Temperature difference between 9 a.m to 9 p.m is,

                                   =  6.4 - 13.6

                                   = - 7.2 °$C$

Step:3

          Average change in temperature between 9 a.m to 9 p.m,

                           $Avg = \frac{Temperature difference}{Time period}$

                                   $= \frac{- 7.2}{12}$

                                    = - 0.6 °$C$            ( ∵ Negative indicates temperature reduction)

Result:

          The average change in temperature from 9 a.m to 9 p.m is - 0.6 °$C$  per hour ( Negative indicates temperature reduction).