Question
Interpret the key function of the graph for the domain interval 9<t<14 . What scenario can be represented by this portion of the piecewise function? (1 point) Responses a cyclist taking a cool down ride at a slower constant pace a cyclist taking a cool down ride at a slower constant pace a runner sprinting at a constant rate starting at minute nine a runner sprinting at a constant rate starting at minute nine a runner resting for 5 minutes a runner resting for 5 minutes driving a car at a constant rate for five hours
Answers
GPT-4o mini
To interpret the key function of the graph for the domain interval \( 9 < t < 14 \), we need to analyze the given options in the context of the time elapsed.
1. **A cyclist taking a cooldown ride at a slower constant pace** - This implies a gradual deceleration or a consistent pace, which could fit a longer time interval.
2. **A runner sprinting at a constant rate starting at minute nine** - This suggests intense activity starting at \( t = 9 \) and persisting beyond, matched to a scenario but typically linked to high energy.
3. **A runner resting for 5 minutes** - This directly suggests inactivity for an interval of time, which may fit a portion of a graph where the function can represent zero speed.
4. **Driving a car at a constant rate for five hours** - This implies a much longer period than what is represented by \( 9 < t < 14 \) since it translates to a time interval unsuitable for the context.
Given the options, if the graph indicates a period of constant speed or inactivity (like a horizontal line on the graph), the most fitting interpretation within the given domain would likely be **"a runner resting for 5 minutes."** This indicates a static portion in the function's portrayal within that specific time interval, particularly if the function value is consistent and represents no forward motion.
1. **A cyclist taking a cooldown ride at a slower constant pace** - This implies a gradual deceleration or a consistent pace, which could fit a longer time interval.
2. **A runner sprinting at a constant rate starting at minute nine** - This suggests intense activity starting at \( t = 9 \) and persisting beyond, matched to a scenario but typically linked to high energy.
3. **A runner resting for 5 minutes** - This directly suggests inactivity for an interval of time, which may fit a portion of a graph where the function can represent zero speed.
4. **Driving a car at a constant rate for five hours** - This implies a much longer period than what is represented by \( 9 < t < 14 \) since it translates to a time interval unsuitable for the context.
Given the options, if the graph indicates a period of constant speed or inactivity (like a horizontal line on the graph), the most fitting interpretation within the given domain would likely be **"a runner resting for 5 minutes."** This indicates a static portion in the function's portrayal within that specific time interval, particularly if the function value is consistent and represents no forward motion.