Question
A fountain shoots water into the air. The graph shows a water droplet's height y in feet x seconds after it is shot from the fountain.
What does the x-intercept of 6 represent?
Responses
A water droplet reaches its maximum height after 6 s.
A water droplet reaches its maximum height after 6 s.
It takes 6 s for a water droplet to rise and fall back to the ground.
It takes 6 s for a water droplet to rise and fall back to the ground.
A water droplet reaches a maximum height of 6 ft.
A water droplet reaches a maximum height of 6 ft.
The water fountain shoots water from a height of 6 ft.
The water fountain shoots water from a height of 6 ft.
A parabola graphed on a coordinate plane entitled Height of Water Droplet. The horizontal axis is labeled as Time in seconds and ranges from 0 to 8 in increments of 1. The vertical axis is labeled as Height in feet and ranges from 0 to 192 in increments of 24. The vertex is located at begin ordered pair 3 comma 144 end ordered pair. The parabola opens downward. It passes through begin ordered pair 0 comma 0 end ordered pair and begin ordered pair 6 comma 0 end ordered pair.
What does the x-intercept of 6 represent?
Responses
A water droplet reaches its maximum height after 6 s.
A water droplet reaches its maximum height after 6 s.
It takes 6 s for a water droplet to rise and fall back to the ground.
It takes 6 s for a water droplet to rise and fall back to the ground.
A water droplet reaches a maximum height of 6 ft.
A water droplet reaches a maximum height of 6 ft.
The water fountain shoots water from a height of 6 ft.
The water fountain shoots water from a height of 6 ft.
A parabola graphed on a coordinate plane entitled Height of Water Droplet. The horizontal axis is labeled as Time in seconds and ranges from 0 to 8 in increments of 1. The vertical axis is labeled as Height in feet and ranges from 0 to 192 in increments of 24. The vertex is located at begin ordered pair 3 comma 144 end ordered pair. The parabola opens downward. It passes through begin ordered pair 0 comma 0 end ordered pair and begin ordered pair 6 comma 0 end ordered pair.
Answers
GPT-4o mini
The x-intercept of 6 represents the time at which the water droplet returns to the ground after being shot from the fountain. In this context, it indicates that it takes 6 seconds for the water droplet to rise and then fall back to the ground.
So the correct response is:
**It takes 6 s for a water droplet to rise and fall back to the ground.**
So the correct response is:
**It takes 6 s for a water droplet to rise and fall back to the ground.**