c = 200 + 15m and c=100+20m find the intersection and what month are they the same in costs and graph

The graph above shows the two cost functions intersecting at the point \((20, 500)\). This confirms that both costs are equal at 500 units after 20 months.

### Summary:
- **Intersection Point**: \( (20, 500) \)
- **Interpretation**: The costs are equal at 500 units after 20 months.

Would you like more details on this or have any questions? Here are some related questions to consider:

1. What happens to the costs before and after 20 months?
2. How would the intersection point change if the starting costs were different?
3. What does the slope represent in each equation?
4. How would the graph look if the rates per month were swapped?
5. What is the significance of the y-intercept in these equations?

**Tip**: When comparing linear functions, their intersection point can give insight into when two rates or costs become equivalent!

Learn how to find the intersection point of two linear cost functions: c = 200 + 15m and c = 100 + 20m. This problem involves solving linear equations and interpreting their graph, showing where the costs are equal after 20 months at 500 units. Suitable for Grades 8-10 students studying linear functions.

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