Suppose a tortoise is 2000 feet from the ocean. Each day the tortoise travels one-half of the remaining distance to the ocean. Use this information to:
Compute the remaining distance to the ocean after 4 days of travel.
2000 * (1/2)^x
To compute the remaining distance to the ocean after 4 days of travel, we can use the given information that the tortoise travels one-half of the remaining distance each day. We can start by calculating the distance traveled by the tortoise on each day.
Day 1: The tortoise travels half of the remaining distance, which is (1/2) * 2000 = 1000 feet.
Day 2: On the second day, the tortoise travels half of the remaining distance, which is (1/2) * 1000 = 500 feet.
Day 3: Similarly, on the third day, the tortoise travels (1/2) * 500 = 250 feet.
Day 4: On the fourth day, the tortoise travels (1/2) * 250 = 125 feet.
Now, let's calculate the remaining distance to the ocean after each day.
Remaining distance after Day 1: 2000 - 1000 = 1000 feet.
Remaining distance after Day 2: 1000 - 500 = 500 feet.
Remaining distance after Day 3: 500 - 250 = 250 feet.
Remaining distance after Day 4: 250 - 125 = 125 feet.
Therefore, the remaining distance to the ocean after 4 days of travel is 125 feet.