Kari's assignment in her computer programming course is to simulate the motion of an airplane by repeatedly translating it across the screen. The coordinate system in the software program is shown at right with the origin, (0, 0), in the upper left corner. In this program, coordinates to the right and down are positive. The starting position of the airplane is (1000, 500), and Kari would like the airplane to end at (7000, 4000). She thinks that moving the airplane in 15 equal steps will model the motion well.

a. What should be the airplane's first position after (1000, 500)?
b. If the airplane's position at any time is given by (x, y), what is the next position in terms of x and y?
c. If the plane moves down 175 units and right 300 units in each step, how many steps will it take to reach the final position of (7000, 4000)?

( 0,0 ) x 1000 -3004! (1000, 500)