Question

The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, l.

Complete the following sentences based on the graph of the function.

1. The longer the sailboat is, the [FASTER/SLOWER] it can go.
2. For a boat to reach the speed of 101010 kilometers per hour, it needs to be at least __ feet long.
3. The maximum speed that an 888-foot boat can reach is __ kilometers per hour.
4. A 16-foot sailboat at top speed is [1.5 times/2 times/2.5 times/3 times/3.5 times] as fast as a 4-foot sailboat at top speed.

Answer 1

Review the graph to get answers:

1. The longer the sailboat is, the FASTER it can go. As it is a increasing function.

2. For a boat to reach the speed of 10 kilometers per hour, it needs to be at least 16 feet long.

3. The maximum speed that an 8-foot boat can reach is 7.1 kilometers per hour.

4. Top speed of a 16-foot boat is 10 kilometers per hour and of a 4-foot boat is 5 kilometers per hour.

The ratio is:

• 10/5 = 2 times

A 16-foot sailboat at top speed is 2 times as fast as a 4-foot sailboat at top speed.