To determine the cheaper taxi option for Corey to travel 240 miles, we need to calculate the cost for both Taxi A and Taxi B.

Taxi A:

• Original price: £35 per 40 miles.
• 15% off means Corey pays 85% of the original price.

First, let's calculate the price per mile for Taxi A: $\text{Original price per mile} = \frac{35}{40} = 0.875 \, \text{£/mile}.$ With the 15% discount: $\text{Discounted price per mile} = 0.875 \times 0.85 = 0.74375 \, \text{£/mile}.$ The total cost for 240 miles with Taxi A is: $\text{Total cost for Taxi A} = 240 \times 0.74375 = 178.50 \, \text{£}.$

Taxi B:

• Price per mile is 70p (or £0.70).

The total cost for 240 miles with Taxi B is: $\text{Total cost for Taxi B} = 240 \times 0.70 = 168 \, \text{£}.$

Conclusion:

• Taxi A would cost £178.50.
• Taxi B would cost £168.

Thus, Taxi B is the cheaper option, and Corey would pay £168.

Would you like further details or have any other questions?

Here are five related questions for further practice:

1. What if Corey had to travel 300 miles? How much would Taxi A cost with the discount?
2. If the discount on Taxi A increased to 20%, would that change the cheaper option?
3. How many miles would Corey need to travel for Taxi A to become cheaper than Taxi B?
4. What is the percentage difference in cost between Taxi A and Taxi B for 240 miles?
5. How much would Corey save by choosing Taxi B over Taxi A for this journey?

Tip: When comparing prices, always ensure you're calculating the cost for the same number of miles to make a fair comparison.