Given that we have the change in temperature over 7 hours and we are looking for the change over 1 hour, we can divide the total change in temperature by 7. Thus, the change in temperature would be [tex]\frac{42}{7} C^{\circ}[/tex].
Additionally, this can be solved by equations:
[tex]\dfrac{42 \,\textrm{C}^{\circ}}{7 \,\textrm{hours}} = \dfrac{x \,\textrm{C}^{\circ}}{1 \,\textrm{hour}}[/tex]
[tex]1 \,\textrm{hour} \cdot \dfrac{42 \,\textrm{C}^{\circ}}{7 \,\textrm{hours}} = x \,\textrm{C}^{\circ}[/tex]
[tex]\dfrac{42}{7} \,\textrm{C}^{\circ} = x \,\textrm{C}^{\circ}[/tex]
[tex]\dfrac{42}{7} = x[/tex]
By using two different methods, we can determine that the change each hour was equal to 42/7 C° per hour.
