Q40. - Algebra 2

Question

BOATING 

For Exercises $39-41$, use the following information.

A marker buoy off the coast of Gulfport, Mississippi, bobs up and down with the

waves. The distance between the highest and lowest point is 4 feet. The buoy moves

from its highest point to its lowest point and back to its highest point every 10 seconds.

Draw a graph showing the height of the buoy as a function of time.

Step-by-Step Solution

Answer

The graph is-

Step 1. Given information

A bouy with difference of 4 feet is given

Step 2. Concept used

To draw the graph of equation, first we know the nature of equation as sine, cosine, etc.

The equation we have find in the previous question is-

$y=2\sin \frac{\pi }{5}t$

Step 3. Calculation

The equation is-

$y=2\sin \frac{\pi }{5}t$

The equation is of sine with an amplitude of two units. So, the graph is-