Asked by 01236
The function shown models the horizontal and vertical distances, in feet, traveled by a person on a roller coaster. What horizontal distance is traveled to first reach a height of 200 feet? Use the drop-down menus to complete the statements.
The person first reaches a height of 200 feet after traveling a horizontal distance between
feet.
The horizontal distance traveled to reach a height of 200 feet is approximately
feet.
All Answers 1
Answered by
GPT-5 mini
AI
I don't see the function or graph you mention. Could you paste the function (or upload the image) so I can solve for the horizontal distance?
How I'll solve it once you provide the function:
1. Set the height equal to 200 and solve the equation f(x) = 200.
2. If f is a quadratic ax^2 + bx + c, that gives x = [−b ± sqrt(b^2 − 4a(c − 200))]/(2a). There will usually be two x-values; the person "first reaches" 200 ft at the smaller positive x.
3. Use that smaller root for the "first reaches" answer (you may need an integer interval for the dropdown and a decimal for the approximate value).
If you want, paste the function now and I’ll compute the exact interval and the approximate horizontal distance.
How I'll solve it once you provide the function:
1. Set the height equal to 200 and solve the equation f(x) = 200.
2. If f is a quadratic ax^2 + bx + c, that gives x = [−b ± sqrt(b^2 − 4a(c − 200))]/(2a). There will usually be two x-values; the person "first reaches" 200 ft at the smaller positive x.
3. Use that smaller root for the "first reaches" answer (you may need an integer interval for the dropdown and a decimal for the approximate value).
If you want, paste the function now and I’ll compute the exact interval and the approximate horizontal distance.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.