Question

The graph shows the distance (x) traveled by an aircraft traveling at constant velocity in corresponding time intervals (t). What is the form of the graph, and what is the approximate distance traveled by the aircraft in 7.5 seconds?
Linear, 770 meters

Linear, 825 meters

Linear, 660 meters

Inverse, 825 meters

Answer 1

The question is asking you to select the kind of graph (linear, square, inverse, etc.) for distance(x) vs time(t). And then it also asks how for the object will move.

The key thing they tell you is that the thing (aircraft) is traveling at a constant velocity. Velocity is the slope of that distance(x) vs time(t) graph. I don't see the graph, but you would calculate it like this:

Pick to points on the graph and calculate the slope between them. The slope should be constant the whole way through because they said "constant velocity." Then once you have that constant velocity, it's a quick calculation using the equation: \[v=\frac{ x }{ t }\]. With just a bit of algebra, you'll have solved for x and have your answer. Good luck!