Two cab rides cost the same amount for the same number of miles, m. Which situation can be represented by the equation 2.50 + 0.50m = 1.00 + 0.75m?

If the number of miles is 6

Step-by-step explanation:

Since they vary with different rates ($/mile in our case), such equality can only be true for a specific amount of miles. Less miles and the left part ($2.50 ...) would be higher, more miles and the right part ($1.00 ...) would be higher because it grows faster.

So, that's the number of miles for which the equation is true?

2.50 + 0.50m = 1.00 + 0.75m

Let's regroup similar terms:

1.50 = 0.25m

the isolate m

m = 6

So, if the ride covers 6 miles, the equation is true:

2.5 + 0.5 (6) = 1.00 + 0.75 (6)

2.5 + 3 = 1 + 4.50

5.5 = 5.5