A taxi journey costs $£5$ up front, plus $£2$ for every mile traveled. We need to complete a table to show the cost of journeys of different lengths (0, 1, 2, and 3 miles), finding the values A, B, and C.

AlgebraLinear EquationsWord ProblemsModeling
2025/5/12

1. Problem Description

A taxi journey costs £5£5 up front, plus £2£2 for every mile traveled. We need to complete a table to show the cost of journeys of different lengths (0, 1, 2, and 3 miles), finding the values A, B, and C.

2. Solution Steps

The cost of a journey can be modeled by the formula:
Cost=5+2×milesCost = 5 + 2 \times miles
We calculate the cost for each distance:
* 0 miles: Cost=5+2×0=5Cost = 5 + 2 \times 0 = 5. This value is given in the table.
* 1 mile: Cost=5+2×1=5+2=7Cost = 5 + 2 \times 1 = 5 + 2 = 7. So, A=7A = 7.
* 2 miles: Cost=5+2×2=5+4=9Cost = 5 + 2 \times 2 = 5 + 4 = 9. So, B=9B = 9.
* 3 miles: Cost=5+2×3=5+6=11Cost = 5 + 2 \times 3 = 5 + 6 = 11. So, C=11C = 11.

3. Final Answer

A = 7
B = 9
C = 11