What was Diego’s speed at the 5 kilometer mark in the race?

To find Diego's speed at the 5 kilometer mark in the race, we can use the information provided. Let's go step by step. Step 1: Given Information Distance covered: 10 kilometers Speed at the 2-kilometer mark: 4 Speed at the 4-kilometer mark: 6 Speed at the 6-kilometer mark: 8 Speed at the 8-kilometer mark: \(40^{2}\) Step 2: Analyzing the Sequence From the given information, we can observe that the speeds increase as the distance increases. This information suggests that Diego's speed is not constant throughout the race. Step 3: Calculating the Average Speed To find the speed at the 5-kilometer mark, we can calculate the average speed between the 4-kilometer mark and the 6-kilometer mark. Since the speed is changing, we need to consider the average speed to approximate Diego's speed at the 5-kilometer mark. Average Speed = \(\frac{{Speed\,at\,4\,km + Speed\,at\,6\,km}}{2} = \frac{{6 + 8}}{2} = 7\) Therefore, the average speed between the 4-kilometer and 6-kilometer marks is 7 km/hr. Step 4: Final Answer Diego's speed at the 5-kilometer mark in the race is 7 km/hr. Note: We assume a constant speed between each recorded mark, which might not accurately represent Diego's actual speed variation. However, based on the given information, this is our best approximation. Please remember to double-check your work at each step and ensure that all terms are appropriately addressed.