Final answer:
The passenger cannot travel any distance for $5.00 in the taxicab because the initial fare of $5.80 already exceeds the available budget.
Step-by-step explanation:
The question involves a mathematical calculation to determine how far a passenger can travel in a taxicab in a certain city for a fixed amount of money, with a specific fare structure. The fare is $5.80 for the first ¼ mile and $0.20 for each additional ¼ mile. To calculate the distance that can be traveled for $5.00, we first need to subtract the initial fare from the total amount the passenger is willing to spend.
Step 1: Calculate the remaining amount after the initial fare.
Remaining Amount = Total Amount - Initial Fare = $5.00 - $5.80 = -$0.80.
Since the remaining amount is negative, the passenger cannot travel any distance for $5.00 as the initial fare itself exceeds this amount. Therefore, the passenger cannot travel with a budget of $5.00 due to the cost structure of the taxicab fare in this city.