https://file.aiquickdraw.com/mathbot/file/17296237331444sl8h459.jpg

Let's analyze the problem.

### **Part (a): Did Zach go to Station X or Station Y?**

- Zach bought **10 litres** of petrol for **£12**.
- From the **graph**, let’s check the cost for 10 litres at each station:
  - **Station X (solid orange line):** At 10 litres, the cost is **£15**.
  - **Station Y (dashed blue line):** At 10 litres, the cost is **£12**.

Since Zach paid **£12** for 10 litres, he must have bought it from **Station Y**.

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### **Part (b): How much would 15 litres of petrol cost at the same station?**

Since we determined that Zach bought from **Station Y**, let’s use the **blue dashed line** to find the cost of **15 litres**.

- From the graph:
  - **15 litres** at **Station Y** costs **£18**.

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### **Final Answers:**
a) Zach went to **Station Y**.  
b) **15 litres** of petrol at Station Y would cost **£18**.

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Do you have any further questions, or would you like a deeper explanation?

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### **Related Questions:**
1. How would the total cost change if Zach bought 20 litres from Station X?
2. What is the cost per litre at both Station X and Station Y?
3. How much would 8 litres of petrol cost at Station Y?
4. How many litres could Zach buy with £20 from Station X?
5. Which station offers better value for 25 litres?

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**Tip:** Use the slope of the graph to quickly find the cost per litre—this can help with predicting costs at other quantities!

The graph below shows petrol prices at two petrol stations, Station X and Station Y. Zach went to one of the petrol stations and bought 10 litres of petrol for £12. 

a) Did Zach go to Station X or Station Y?

b) How much would 15 litres of petrol cost at the same station? Give your answer in pounds (£).

Solve a problem involving interpreting a petrol price graph to determine which station Zach visited and calculate the cost for 15 litres of petrol. This problem focuses on graph interpretation and unit pricing, suitable for Grades 5-7.

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