Get into groups.

1. Two ships, the Andor and the Helsinki, are sailing in the fog. The same tracking equipment is monitoring both ships. As the ships enter the area being monitored, their positions are displayed on the observer’s rectangular screen by a brightened point. The point representing the Andor is at a point 900 mm from the bottom left corner of the screen along the lower edge of the screen. The point representing the Helsinki is located 100mm directly above the lower left hand corner. One minute later the positions have changed. The Andor has moved to a location on the screen that is 3 mm west and 2 mm north of its previous location. The Helsinki has moved to a position 4 mm east and 1 mm north of where it had been. Assume that the two ships will continue to sail at a constant speed on their respective linear paths.

2. On the grid below, you will see the points representing the position of the two ships as the first appear on the tracking screen. On this grid, label each point with an H for Helsinki or an A for Andor and sketch the linear paths of each ship. Then, state whether the two ships, if they continue on their respective paths, will collide(crash). Defend your answer mathematically.

3. Get into groups. Write a linear equation for the path of both ships. Determine the point at which the paths of the ships cross. (Round to 3 decimal places) Determine the speed of each ship. Do the ships collide? EXPLAIN.

5. Graph the parametric equations.

6. Show algebraically that the parametric equations for the Andorareequivalent to the linear function that you found. Explain what the coefficient of the variables and the constant mean in the function x(t) = at + b, y(t) = ct + d and how they relate to the linear function y(x).