Question

"Taxi company A charges 8.00 to get into the cab and .75 per mile Taxi Company B charges 6.00 to get into the cab and 1.25 per mile.How many miles would the cost be the same for both companies?

Options:
A) 4 miles
B) 5 miles
C) 6 miles
D) 7 miles

Answer 1

By setting up and solving the equation 8.00 + 0.75m = 6.00 + 1.25m, where m represents miles, we find that the cost for a taxi ride would be the same after 4 miles for both companies.

Step-by-step explanation:

To determine at what mileage the cost of a taxi ride would be the same for both Company A and Company B, we need to set up an equation where the total cost of a taxi ride from both companies is equal. Company A's cost can be represented as 8.00 + 0.75m, where m represents the number of miles. Company B's cost can be represented as 6.00 + 1.25m.

Setting the two equations equal to each other gives us:

8.00 + 0.75m = 6.00 + 1.25m

To solve for m, we combine like terms:

8.00 - 6.00 = 1.25m - 0.75m

2.00 = 0.50m

Dividing both sides by 0.50 gives us:

m = 4 miles

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