Final answer:
Without the specific distance traveled by the runner between the hours of 0.5 and 2, we cannot provide a correct answer to the question regarding the average rate of change. The information about percentages of runners' speeds does not give us the necessary details to calculate it.
Step-by-step explanation:
The question, 'What is the runner's average rate of change between the hours 0.5 and 2?', involves calculating the average rate of change over a specific time interval. While the exact details of the runner's speeds or distances covered are not provided, we can draw upon relevant information about runners' statistics and average rates to provide a comprehensive answer.
It's essential to consider the information that 40 percent of runners ran at speeds of 7.5 miles per hour or less, and 60 percent ran at speeds of 7.5 miles per hour or more. However, this data alone cannot determine the runner's average rate of change without additional information about the runner's speed or distance covered during the time interval. Hence, with the information given, we cannot confidently select an answer from the options provided.
If we had the distance traveled by the runner between the hours of 0.5 and 2, we could calculate the average rate of change using the formula: Average Rate of Change = (Distance at time 2 - Distance at time 0.5) / (Time 2 - Time 0.5). Without that data, it is not possible to provide a correct answer.