Question

Martin modeled the distance, y, that runners traveled during a race as a function of the time, x, that they ran. Which would best describe the domain of this function?

A. all integers
B. all real numbers
C. all positive integers
D. all positive real numbers

Answer 1

The domain of the function modeling distance as a function of time is all positive real numbers, as time cannot be negative and can include any positive value.

Step-by-step explanation:

The domain of a function modeling the distance y that runners traveled during a race as a function of the time x they ran would best be described as all positive real numbers (Option D). This is because time can take on any positive value, including fractions of a second, during the race but cannot be negative as you can't run for negative time. Thus, the domain includes all the positive real numbers that represent the continuous passage of time.