To determine how much more Cab Cruiser charges than Taxi Express for a ride of \( m \) miles, we can set up the expressions for the total cost for each taxi service and then find the difference.
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Taxi Express charges \( 2.60 \) as a base fee and \( 3.65 \) per mile. Therefore, the total cost for a ride of \( m \) miles will be: \[ \text{Cost for Taxi Express} = 2.60 + 3.65m \]
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Cab Cruiser charges \( 2.75 \) as a base fee and \( 3.90 \) per mile. Thus, the total cost for a ride of \( m \) miles will be: \[ \text{Cost for Cab Cruiser} = 2.75 + 3.90m \]
Now, to find how much more Cab Cruiser charges than Taxi Express, we subtract the cost of Taxi Express from the cost of Cab Cruiser:
\[ \text{Difference} = \text{Cost for Cab Cruiser} - \text{Cost for Taxi Express} \]
Substituting the expressions we found:
\[ \text{Difference} = (2.75 + 3.90m) - (2.60 + 3.65m) \]
Now, simplify the expression:
\[ \text{Difference} = 2.75 + 3.90m - 2.60 - 3.65m \] \[ \text{Difference} = (2.75 - 2.60) + (3.90m - 3.65m) \] \[ \text{Difference} = 0.15 + 0.25m \]
Thus, the expression that represents how much more Cab Cruiser charges than Taxi Express for a ride of \( m \) miles is:
\[ 0.15 + 0.25m \]