Final answer:
By using the given cab fare structure and the total fare, an equation was set up and solved to find that the taxi traveled 12 miles during the ride.
Step-by-step explanation:
To calculate the distance traveled by the taxi, we will use the given fare information and the total charge for the ride. The equation to represent the total charge ($27.00) is the sum of the initial fare ($3.00) plus the charge per mile ($2.00) times the distance in miles. We can set this up as an equation:
Total Charge = Initial Fare + (Charge per Mile × Distance in Miles)
Plugging in our numbers, we have:
$27.00 = $3.00 + ($2.00 × Distance in Miles)
By subtracting the initial fare from both sides of the equation, we find:
$24.00 = $2.00 × Distance in Miles
Dividing both sides by $2.00 gives us the distance:
Distance in Miles = $24.00 / $2.00 = 12 miles
Therefore, the taxi traveled 12 miles.