The image presents a graph showing the distance (in miles) traveled by two cars over time (in hours). There is also a table at the top with data:
| Hours | 2 | 6 |
|-------|-----|-----|
| Miles | 300 | 300 |
We are given two points on the graph:
- A blue car at point (2, 300), meaning it traveled 300 miles in 2 hours.
- A green car at point (6, 300), meaning it traveled 300 miles in 6 hours.
Both cars end up at 300 miles, but they take different amounts of time to get there.
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Step 1: Determine the speed of each car
Speed = Distance ÷ Time
Blue Car:
- Distance = 300 miles
- Time = 2 hours
- Speed = 300 ÷ 2 =
150 miles per hour
Green Car:
- Distance = 300 miles
- Time = 6 hours
- Speed = 300 ÷ 6 =
50 miles per hour
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Step 2: Interpret the graph
- The blue car starts at (0,0) and reaches (2,300), so its line has a steep slope → faster speed.
- The green car starts at (0,0) and reaches (6,300), so its line has a gentler slope → slower speed.
Both cars travel the same distance (300 miles), but the blue car does it faster.
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Step 3: Answer the likely question
Although no explicit question is stated, based on the image and context, the problem is likely asking:
>
Which car is traveling faster?
Answer: The
blue car is traveling faster because it covers 300 miles in 2 hours (150 mph), while the green car takes 6 hours (50 mph).
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Summary
- Blue car speed: 150 mph
- Green car speed: 50 mph
- Blue car is faster.
✔ Final Answer: The blue car is traveling faster.
Parent Tip: Review the logic above to help your child master the concept of graphing proportional relationships worksheet.
