Question

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?

Answer 1

The answer is A.

Answer 2

Let's consider what the x and y values represent. x represents the time at which an object is moving in relation to its height represented by y. So, we already know a restriction on y, y >= 0.

Now, let's consider each case of scenarios.

For A) the time of a falling object is -4 in relation to it being dropped at a height of 1 means the falling object is traveling back in time. But that doesn't really make any sense at all. How does an object travel back in time?

B, C and D are all valid because they fit the domain and range. In essence, they make sense.