To find the number of hours for which the total cost will be the same for Derrick's Dog Sitting and Darlene's Dog Sitting, we can set up an equation.
Let's assume the cost per hour for Derrick's Dog Sitting is represented by "D" and the cost per hour for Darlene's Dog Sitting is represented by "D+" (where D+ is a higher cost per hour).
The equation would be:
D * hours = (D+ * hours)
Solving this equation will give us the number of hours for which the total cost will be the same for both services.