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A-1 Taxi charges $12.00 for pick up and an additional $0.15 for each mile traveled. Z-6 Taxi charges $10.00 for pick up and an additional $0.25 for each mile traveled. At what mileage is the cost for both taxi services the same?

Verified Answer :

texaschic101

12 + 0.15m = 10 + 0.25m
0.15m - 0.25m = 10 - 12
- 0.10m = -2
m = -2/-0.10
m = 20

At 20 miles, the cost of the two taxi services will be the same.

Answer:

20 miles.

Step-by-step explanation:

Let m be the miles traveled by the both Taxi.

Pick up charge of A-1  taxi = $12

Cost of travelling 1 mile = $0.15

Cost of travelling x mile = $0.15x

So, total cost of A-1 taxi = @@MATH_TOKEN_0@@  --A

Pick up charge of Z-6  taxi = $10

Cost of travelling 1 mile = $0.25

Cost of travelling x mile = $0.25x

So, total cost of Z-6 taxi = \(10+0.25x\)  --B

Now we are supposed to find At what mileage is the cost for both taxi services the same.

So, equate 1 and 2

\(12+0.15x=10+0.25x\)

\(12-10=0.25x-0.15x\)

\(2=0.10x\)

\(\frac{2}{0.10}=x\)

\(20=x\)

So, the cost for both taxi services will be same at 20 miles.

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