To solve this problem, let's break down the information provided and calculate each part carefully.
First, we need to determine the average speed of the cruise ship. The data points provided are:
- At 2 hours, the distance is 53 nautical miles
- At 4 hours, the distance is 95.5 nautical miles
- At 6 hours, the distance is 138 nautical miles
- At 10 hours, the distance is 223 nautical miles
- At 12 hours, the distance is 265.5 nautical miles
By using these data points, we can calculate the speed, initial distance, and the distance at 11 hours.
1. The distance at 11 hours:
After 11 hours, the cruise ship will be 244.25 nautical miles from the lighthouse.
2. The initial distance from the lighthouse:
At the start of the journey, the cruise ship was 10.5 nautical miles from the lighthouse.
3. The speed of the cruise ship:
The cruise ship is traveling at a speed of 21.25 nautical miles per hour.
Therefore, we can complete the sentences as follows:
After 11 hours the cruise ship will be 244.25 nautical miles from the lighthouse.
At the start of the journey, the cruise ship was 10.5 nautical miles from the lighthouse.
The cruise ship is traveling at a speed of 21.25 nautical miles per hour.
