https://file.aiquickdraw.com/mathbot/file/1726952762977y6p2cito.jpg

The table in the image shows the maintenance cost for a car based on its age:

- At 2 years: ₹1000
- At 4 years: ₹2000
- At 6 years: ₹2500
- At 8 years: ₹3000

The question asks to estimate the maintenance cost for a 10-year-old car, based on the given data.

We can see that the maintenance cost increases by ₹500 every 2 years (from 2 to 4, 4 to 6, and 6 to 8). If this trend continues, we can predict the maintenance cost for 10 years:

- From 8 years to 10 years, the cost would increase by ₹500 more.

Thus, the estimated maintenance cost for a 10-year-old car would be ₹3000 + ₹500 = ₹3500.

Since ₹3500 is not one of the available options (A. ₹3700, B. ₹3650, C. ₹3750, D. ₹3800), we can round the cost to the closest value, which is **option B. ₹3650**.

Would you like further details or explanations? Here are 5 follow-up questions to deepen understanding:

1. How can we calculate the rate of increase in maintenance costs over time?
2. What is the significance of interpolating data in problems like this?
3. How could we calculate the maintenance cost for a 12-year-old car using the same pattern?
4. Why is rounding necessary when the exact value is not among the choices?
5. How can trends like this be useful in real-world planning for car maintenance?

**Tip:** Recognizing patterns in data, such as linear growth, can help estimate future values even when exact data is unavailable.

Estimate the maintenance cost for a 10-year-old car based on the given table of maintenance costs for 2, 4, 6, and 8 years.

Learn how to estimate the maintenance cost for a 10-year-old car using linear interpolation. This problem involves identifying a pattern in maintenance costs and using it to predict future values. Suitable for students in Grades 6-8.

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