Question

Taxi a charges $10 to get into the cab $0.50 cents per mile taxi B charges to Dollars to get into the cab plus $0.75 for a mile how many miles must a person travel so that taxi A and B cost the same

Answer 1

Explanation:

Let's assume that the cost of using taxi A for a certain distance d is equal to the cost of using taxi B for the same distance d.The cost of using taxi A for a distance d is given by:Cost of taxi A = 10 + 0.5dThe cost of using taxi B for the same distance d is given by:Cost of taxi B = 2 + 0.75dwhere the 2 dollars in the above equation is the fixed cost of using taxi B to get into the cab.Now we can set these two expressions equal to each other and solve for d:10 + 0.5d = 2 + 0.75dSubtracting 0.5d from both sides, we get:10 = 2 + 0.25dSubtracting 2 from both sides, we get:8 = 0.25dDividing both sides by 0.25, we get:d = 32Therefore, the person must travel 32 miles so that taxi A and B cost the same.