Problema Solution
One ship sailed from hawaii on a course represented by the equation
Y=3/2x-215. Another ship left Tahiti
On a course represented by the equation y=-7x+1026.
A.Determine a viewing window to show the intersection of the equations
Repesenting the paths of two ships.Give appropriat
e domain andrange values for this viewing window.
B.Draw a graphic representation of the two ships.
C.Determine the point at which the path of the ships would cross.
Answer provided by our tutors
(A)
y =3/2x-215
y = -7x+1026
x = 146, y = 4
So the intersection is (146,4)
The domain for this viewing window is (0, a), a>146
The range for this viewing window is (-215, 1026)
(B)
The graph of y =3/2x-215 is a straight line passing (0, -215) and (2, -212)
The graph of y = -7x+1026 is a straight line passing (0, 1026) and (100, 326)
Then we can draw the graph
(C)
the point at which the path of the ships would cross is (146,4)