Taxi A charges $0.25 per mile and an initial fee of $5. Taxi B charges $0.5 per mile and an initial fee of $2. In how many miles will the cost of Taxi B will be the same than Taxi A.

12 miles

Step-by-step explanation:

Let

x = number of miles

Taxi A:

5 + 0.25x

Taxi B:

2 + 0.5x

In how many miles will the cost of Taxi B will be the same than Taxi A

Equate cost of taxi A and taxi B

5 + 0.25x = 2 + 0.5x

Collect like terms

5 - 2 = 0.5x - 0.25x

3 = 0.25x

Divide both sides by 0.25

3 / 0.25 = 0.25x / 0.25

x = 3/0.25

x = 12 miles

x = number of miles = 12 miles

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it has the same slope and a different y-intercept

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