Question

Jose's taxi charges $5 plus $0.30 per mile, while Kathy's taxi charges $8 plus $0.20 per mile. At what distance would the charges for the two taxis be the same?

a) 10 miles
b) 15 miles
c) 20 miles
d) 25 miles

Answer 1

When comparing the rates of Jose's taxi to Kathy's taxi, we find that at 30 miles, the charges would be the same. However, this option was not provided in the given choices, suggesting a possible error in the choices initially presented.

Step-by-step explanation:

We are tasked with determining the distance at which Jose's taxi and Kathy's taxi would have the same charge. To do this, we must set up an equation where both total charges are equal.

For Jose's taxi: $5 + $0.30 per mile.

For Kathy's taxi: $8 + $0.20 per mile.

Let x represent the number of miles traveled. The equation to find the distance at which both charges are the same would be:

5 + 0.30x = 8 + 0.20x

Now, we solve for x:

1. Subtract $0.20x from both sides: 0.10x = 3
2. Divide both sides by $0.10: x = 30

As none of the answer choices are 30 miles, it seems there has been a misunderstanding or a potential typo in the given options.