Answer:
I had a hard time finding the answers, so here are the answers for the whole assignment
the barnacle travels 2PI M
the boat is traveling at 2PI seconds
distances- a=1/2, b=1, c=3/2, d=1, e=0, f=-1
the graph shows the zero-max-sero-min-zero pattern
this is the pattern for a sine function
amplitude= 1
vertical shift=0
an equation for this graph is y=sin x
When the boat has traveled 7 meters, the height of the barnacle is approximately: 0.657 m
10 meters= -0.544
Explain how to determine the following from the graph:
Number of times the barnacle went beneath the water level if the boat traveled a distance of 20 m
sample response= Number of meters of the 20 m trip that the barnacle was underwater
When the graph is below the x-axis, the barnacle is underwater.The graph dips below the x-axis three times between x = 0 and x = 20, so the barnacle goes underwater three times.Every time the barnacle goes underwater, the boat travels meters (one half the circumference of the wheel) before the barnacle comes back up, so the barnacle covers 3 meters underwater between x = 0 and x = 20.
Find the following (take ground level to be 0):
Gum’s minimum height: 6 ft
Gum’s maximum height: 8 ft
2nd part= 2PI
complete the table a=6, b= 7, c= 8, d=7, e=6
Explain how to use the graph to write an equation to model the gum’s height....
The pattern is min-zero-max-zero-min, which is the pattern for a cosine function of the form y = acos(x) + k, but is reflected over the x-axis (so a < 0).
The amplitude is |a|, so a = –1 and |a| = 1.
The midline is exactly between the max and the min, y = (6 + 8)/2 = 7, so k = 7.
The equation is y = –cos(x) + 7.
Graph the function y = –cos(x) + 7...
sample response= The gum returns to the wall each time the graph shows a minimum value of 6 (the height of the wall).Count the number of minimums that occur between x = 0 ft and x = 60 (but omit the first time when x = 0).The gum returns to the wall 9 times while traveling a distance of 60 feet.
good luck :)