Question

an athlete ran at a constant speed for 12 seconds. the part of the linear function shown represents the distance the athlete ran in yards, y, as a function of the time in seconds, x. what is the domain of the function for this situation?

Explanation:

Step1: Understand the context

The athlete runs for 12 seconds. The domain of a function representing time (x - axis) in this situation refers to the set of all possible input values (time in seconds) for which the function is defined.

Step2: Determine the domain

Since the athlete starts at time \( t = 0 \) seconds and runs for 12 seconds, the time \( x \) (in seconds) ranges from 0 to 12, inclusive. So the domain is all real numbers \( x \) such that \( 0\leq x\leq12 \).

Answer:

The domain of the function is \( 0\leq x\leq12 \) (or the set of all real numbers from 0 to 12, inclusive, representing the time in seconds the athlete runs).