Asked by mimis
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. Who had a head start, and how many miles was the head start?
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the graph or the numbers, so I can’t give the numeric answer yet. Here’s how to get it (or send me the graph/data and I’ll do it for you):
- The head start is the difference in the two y‑intercepts (distance at time 0) of the distance vs. time lines.
- If Roger’s distance = mR·t + bR and Rita’s = mT·t + bT, the head start = |bR − bT|. The person with the larger b had the head start.
- On the graph: read each line’s value where t = 0 (the vertical axis). Subtract the smaller from the larger to get miles of head start.
If you paste the equations, the coordinates of two points on each line, or an image of the graph, I’ll compute the answer.
- The head start is the difference in the two y‑intercepts (distance at time 0) of the distance vs. time lines.
- If Roger’s distance = mR·t + bR and Rita’s = mT·t + bT, the head start = |bR − bT|. The person with the larger b had the head start.
- On the graph: read each line’s value where t = 0 (the vertical axis). Subtract the smaller from the larger to get miles of head start.
If you paste the equations, the coordinates of two points on each line, or an image of the graph, I’ll compute the answer.
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