The problem presents a line graph showing the distance of taxi driver Joe from his home over a 12-hour period. We are asked to determine: a. Joe's distance from home at 9:00. b. What Joe might be doing between 9:00 and 10:00. c. The number of kilometers Joe traveled from 10:00 to 11:00.

Applied MathematicsGraph InterpretationDistanceRate of ChangeReal-World Application
2025/7/15

1. Problem Description

The problem presents a line graph showing the distance of taxi driver Joe from his home over a 12-hour period. We are asked to determine:
a. Joe's distance from home at 9:
0

0. b. What Joe might be doing between 9:00 and 10:

0

0. c. The number of kilometers Joe traveled from 10:00 to 11:

0
0.

2. Solution Steps

a. Distance at 9:00:
From the graph, at 9:00, the distance from home is 60 km.
b. Activity between 9:00 and 10:00:
From 9:00 to 10:00, the graph shows a horizontal line, meaning the distance from home remains constant. Therefore, Joe is not moving. He is resting or stationary.
c. Distance traveled from 10:00 to 11:00:
At 10:00, the distance from home is 60 km.
At 11:00, the distance from home is 100 km.
The distance traveled is the difference in distance from home.
Distance traveled = Distance at 11:00 - Distance at 10:00
Distance traveled = 100 km60 km=40 km100 \text{ km} - 60 \text{ km} = 40 \text{ km}

3. Final Answer

a. 60 km
b. He might be resting.
c. 40 km

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