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# Comparing linear functions word problem: walk

Sal is given a table of values that represents four people walking to school, and is asked to determine which one started out farther from the school. Created by Sal Khan.

## Want to join the conversation?

• How would you express a rate as an equation?
• You can also shorten that down to r = d / t
• Which function has a greater rate of change? Which function has a greater y-intercept?
• They're both the same. That's why they're parallel but the second equation has more y intercept
• At , Sal said Gordon did start out farther from school than Elizabeth. But Gordon only started out 4 miles away and Elizabeth started out 5 miles away. So wouldn't Gordon didn't started out farther from school than Elizabeth?
• Gordon is actually going to the school. You can see that he gets closer to school as each hour passes. There is a constant rate of change if you graph the hours that passed and Gordon's distance from school. The rate of change is -2. As each hour passes, he gets 2 miles closer to school. This means that after 0 hours, Gordon is actually 6 miles away from school, and Elizabeth is 5 miles away from school. Gordon did actually start out farther from school than Elizabeth.
• At if Hannah every time is exactly 5 miles away from school how can we know that she is napping? She is actually moving. She's probably is just walking back and forth like maybe she walk 1 mile further/closer to school then she walk back to his original distance.
• its possible but she is probably not moving because she stays the same distance from school at hours 0 1 2 and 3
(1 vote)
• Gordon: Poor guy has to spend 3 hours walking to school!
• we can solve it by `y-intercept` (b). from y=mx+b
• Hannah could be walking in a circle around the school, right?
• 1) The problem tells you that Hannah is walking away from the school. If she was walking in a circle, she would still be the same distance away from the school as when she started. To walk away from the school, the distance needs to be increasing.

2) You are learning about linear word problems. Linear means the equation creates a line, not a circle, or a curve.
(1 vote)
• is there a more systematic way to solve this?ツ