Question 540997
d(t) = 250 - 100t
when t = 0, the distance from the destination is d(t) which equals 250 - 100*0) which equals 250 which means that the small plane is 250 miles from its destination.
if you set d(t) equal to 0, the equation becomes:
0 = 250 - 100t.
add 100t to both sides of this equation to get:
100t = 250
divide both sides of this equation by 100 to get:
t = 250/100 = 2.5 hours.
it takes the small plane 2.5 hours to reach its destination which is the point at which d(t) = 0.
to graph this you would set y equal to d(t) and you would set x equal to t.
the y intercept of the graph would represent the point at which t = 0 which means the point at which x = 0 because x replaces t for graphing purposes.
the x intercept of the graph would represent the point at which d(t) = 0 which means the point at which y equals 0 because y replaces d(t) for graphing purposes.