a tunnelling machine drills 400 meters. Estimate the cost of drilling if the first metre cost £1050 and each extra metre cost 110

To estimate the cost of drilling 400 meters, we can break it down as follows:

- **First meter cost:** £1050
- **Each additional meter (399 meters):** £110 per meter

Now, calculate the total cost:

1. **Cost of the first meter:**  
   £1050

2. **Cost of the remaining 399 meters:**  
   \( 399 \times 110 = 43890 \)

3. **Total cost:**
   \[
   1050 + 43890 = 44940
   \]

Thus, the estimated total cost of drilling 400 meters is **£44,940**.

Would you like further details on any part of the calculation or explanation?

Here are 5 related questions to consider:
1. What would be the cost for drilling 500 meters?
2. How does the cost change if the price per additional meter is increased by 10%?
3. If a discount is applied after 200 meters, how would that affect the total cost?
4. What is the cost for drilling only 100 meters?
5. How does the cost per meter affect the overall budget in a 1 km project?

**Tip:** Always break down a large problem into smaller parts for easier calculations.

A tunnelling machine drills 400 meters. Estimate the cost of drilling if the first meter costs £1050 and each extra meter costs £110.

Estimate the cost of drilling 400 meters with a tunneling machine, where the first meter costs £1050 and each additional meter costs £110. This problem covers arithmetic calculations and linear cost estimations, suitable for students in Grades 5-7.

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