Final answer:
To travel for $5.00 in this taxicab, you first account for the 80-cent fare for the initial 1/4 mile. With the remaining $4.20, you can cover 21 additional quarter-miles. Thus, in total, you can travel 5.5 miles.
Step-by-step explanation:
To calculate how far you can travel in a taxicab for $5.00, let's analyze the fare structure. The initial fare is 80 cents for the first quarter-mile (1/4 mile) and then 20 cents for each additional quarter-mile. Given a total budget of $5.00, we need to subtract the initial fare and then see how many additional quarter-miles can be covered with the remaining amount.
The first quarter-mile costs $0.80, so we subtract that from $5.00 to determine the remaining budget for additional distance:
$5.00 - $0.80 = $4.20
Each additional quarter-mile costs $0.20, so we divide the remaining budget by the cost per quarter-mile:
$4.20 ÷ $0.20 = 21 (additional quarter-miles)
Now we add the first quarter-mile to the additional quarter-miles:
1 + 21 = 22 (total quarter-miles)
To convert quarter-miles to miles, we divide by 4:
22 ÷ 4 = 5.5 miles
You can travel 5.5 miles for $5.00 in this taxicab.