Question

The Viera family is traveling from Philadelphia to Orlando for vacation. The equation y=1000-65x represents the distance in miles remaining in their trip after x hours. Part A Graph the equation. Part B Interpret the slope and the y-intercept

Answer 1

1) Graph a straight segment that starts at the point (0, 1000) and (200/13 , 0)

That segment is in the first quadrant and is like a ramp going downward from left to right.

2) a) slope = - 65 is the change in y (the # of miles remaiing) per miles run (change in x). It is negative because when the Vieras have increase the distance run (x), the distance remaining (y) decreases.

b) the y - intercept (1000) representes the distance from the starting point (Philadelphia) fo the destiny (Orlando), i.e. the distance in miles remaining before departing (when x =0).