Comparing linear functions word problems 3 | Algebra I | Khan Academy

TL;DR

Charles and Tammy both started walking to work at the same time, but at different speeds. It is possible that Tammy started at 900 meters from work and walked towards work at 7/5 meters per second, or started at 900 meters from work and walked towards work at 5/7 meters per second.

Transcript

Charles and Tammy live the same distance from work, and they started walking to work at the same time. They both walked at constant speeds, though not necessarily at the same speed. Charles' distance from work is shown in the following table. So at 50 seconds, he's 830 meters from work. Then another 50 seconds goes by, and now he's 760 meters from ... Read More

Key Insights

• 💦 Charles and Tammy live the same distance away from work.
• 🤒 Charles' distance from work decreases by 70 meters every 50 seconds.
• 🤒 Tammy's starting distance from work is 900 meters.
• 💁 No information is given about Tammy's walking speed.
• 🤒 It is possible that Tammy walked towards work at a speed of 7/5 meters per second or 5/7 meters per second.
• 🤒 The information given does not support any statements about Tammy starting at distances other than 900 meters.
• 💁 More information is needed to determine Tammy's walking speed.

Questions & Answers

Q: How did Charles' distance from work change over time?

Charles' distance from work decreased by 70 meters every 50 seconds, indicating that he was getting closer to work as time passed.

Q: What is the starting distance of Tammy from work?

Tammy started at the same distance as Charles, 900 meters from work, because they live the same distance from work.

Q: Did the given information specify Tammy's walking speed?

No, the information does not provide any details about Tammy's walking speed, only her starting distance from work.

Q: Which of the statements about Tammy could possibly be true?

It is possible that Tammy started at 900 meters from work and walked towards work at either 7/5 meters per second or 5/7 meters per second.

Summary & Key Takeaways

• Charles and Tammy live the same distance from work and started walking to work at the same time.

• Charles' distance from work decreased by 70 meters every 50 seconds.

• Tammy's starting distance from work is 900 meters, with no information given about her speed.