Question

Taxi company a charges $8 to get in the cab and .75 per mile. taxi company b charges $6 to get in and 1.25 per mile. how many miles would the cost be the same for both companies?

(a) 6 miles
(b) 8 miles
(c) 10 miles
(d) 12 miles

Answer 1

To find the number of miles at which the cost is the same for both companies, we can set up an equation using the given information.

Let's say the number of miles traveled is "m" miles.

For Taxi Company A, the cost is $8 to get in the cab and $0.75 per mile. So the cost equation for Company A is:

Cost_A = 8 + 0.75m

For Taxi Company B, the cost is $6 to get in the cab and $1.25 per mile. So the cost equation for Company B is:

Cost_B = 6 + 1.25m

We want to find the number of miles at which the cost is the same for both companies, so we can set the two cost equations equal to each other:

8 + 0.75m = 6 + 1.25m

To isolate "m", we can subtract 0.75m from both sides and subtract 6 from both sides:

8 - 6 = 1.25m - 0.75m

Simplifying, we get:

2 = 0.5m

Dividing both sides by 0.5, we get:

4 = m

Therefore, the cost would be the same for both companies when the number of miles traveled is 4 miles.

weeeee !!

Answer 2

The cost would be the same for both taxi companies at 4 miles.

Step-by-step explanation:

To find the number of miles when the cost is the same for both taxi companies, we need to set up an equation and solve for x, where x represents the number of miles:

1. For Taxi Company A: Cost = $8 + 0.75x
2. For Taxi Company B: Cost = $6 + 1.25x
3. Set the two equations equal to each other: $8 + 0.75x = $6 + 1.25x
4. Combine like terms: 0.5x = $2
5. Divide both sides by 0.5: x = 4

Therefore, the cost would be the same for both companies at 4 miles.