https://file.aiquickdraw.com/mathbot/file/1726344679025vgjr715k.pdf

Here are the answers to questions 5 and 6 from the worksheet:

**Question 5:**
*Look back at your Recursive Rules in #1. Compare the starting values on the graph to the starting values in the Recursive Rules. Answer with a complete sentence.*

Answer: The starting values on the graph match the starting values in the recursive rules. The green minivan starts at 220 miles from Flint, the red sports car starts at 35 miles from Flint, and the blue pickup starts at 0 miles from Flint, which is consistent with the graph.

**Question 6:**
*Estimate where the minivan and sports car are when they meet. Answer with a complete sentence.*

Answer: The minivan and the sports car will meet when their distances from Flint are equal. Based on their speeds, the minivan travels south at 72 mph, and the sports car travels north at 48 mph. They will meet approximately 96 miles from Flint after about 1.6 hours.

Would you like further details or have any other questions?

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Here are 5 related questions to expand your understanding:
1. How do you determine when two moving objects meet mathematically?
2. How would the result change if the vehicles started at different times?
3. What is the importance of the slopes in the graph for each vehicle?
4. How can we calculate the time it takes for each vehicle to reach a certain distance?
5. What would happen if one vehicle slowed down? How would that affect the meeting point?

**Tip:** When dealing with distance, rate, and time problems, the formula \( \text{Distance} = \text{Rate} \times \text{Time} \) is key to setting up equations and solving for unknowns.

Learn how to solve distance-time problems involving two vehicles traveling at different speeds. The minivan travels south at 72 mph while the sports car travels north at 48 mph. Discover where they meet based on the given conditions, using the Distance = Rate x Time formula. Suitable for students in Grades 6-8.

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