First, let's convert the mixed fraction given for the degrees that the compound rose into a fraction:
[tex]1\frac{1}{2}\rightarrow\frac{2+1}{2}\rightarrow\frac{3}{2}[/tex]Therefore, the compound's temperature rose 3/2 degees.
In order to get the rate, divide the degrees that the compound's temperature rose by the time elapsed. In this case, 3/4 hours:
[tex]\frac{\frac{3}{2}degrees}{\frac{3}{4}hours}\Rightarrow\frac{12degrees}{6hours}\Rightarrow2\text{ degrees per hour}[/tex]This way, the rate is 2 degrees per hour