Question

A cyclist is training for an upcoming cycling road race and plans to adjust the weekly training mileage in the weeks leading up to the event. the function d(t) = 150 · (0.85)t models the weekly distance, d(t), in miles, after a given number of weeks, t.

Answer 1

The question asks to understand an exponential decay function representing a cyclist's training mileage over time, a High School Mathematics concept.

Step-by-step explanation:

The student's question involves understanding and applying a decay function in the context of a cyclist's training plan for a road race. The function d(t) = 150 · (0.85)^t models the weekly distance (in miles) cycled after a given number of weeks, t. To solve problems involving this function, we would typically substitute a value for t and calculate the corresponding distance. It's important to note that this is an exponential decay function, meaning the cyclist gradually reduces the distance cycled each week by a certain percentage (in this case, by 15% per week).