We have been given that J.K. Rowling reads 35 pages every 2 hours and R.L. Stein reads 45 pages every 3 hours. We are asked to find the rate of change for each reader.
[tex]\text{ Rate at which J.K. Rowling reads}=\frac{35\text{ pages}}{2\text{ hour}}[/tex]
Let us divide 35 by 2 to find rate of change for J.K. Rowling.
[tex]\text{ Rate at which J.K. Rowling reads}=17.5\frac{\text{ pages}}{\text{ hour}}[/tex]
Therefore, rate of change of J.K. Rowling is 17.5 pages per hour.
Let us find rate of change for R.L. Stein.
[tex]\text{ Rate at which R.L. Stein reads}=\frac{45\text{ pages}}{3\text{ hour}}[/tex]
Upon dividing 45 by 3 we will get,
[tex]\text{ Rate at which R.L. Stein reads}=15\frac{\text{ pages}}{\text{ hour}}[/tex]
Therefore, rate of change of R.L. Stein is 15 pages per hour.