Question

Please Help: The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window. Which statement is true?Select each correct answer. A. The maximum height of the water balloon is 64 ft.B. The maximum height of the water balloon occurs at x = 0.C. The water balloon hits the ground in 64 s.D. The water balloon is in the air for 2 s.The water balloon rises above 64 ft before falling toward the ground.A parabola is graphed on a coordinate plane. The horizontal x-axis is labeled Time in seconds and ranges from 0 to 4 in increments of 1. The vertical y-axis is labeled Height in meters and ranges from 0 to 64 in increments of 4. The vertex is located at begin ordered pair 0 comma 64 end ordered pair. The parabola opens downward. It passes through the horizontal axis at begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 0 comma 64 end ordered pair.

Answer 1

Notice that the graph relates the height of the balloon (y axis) with the time spent on the air (x axis).

With this in mind, we can effectively see that the maximum height of the balloon is 64 ft.

Also, since the maximum height occurs at the beginning, this means that the height is 64ft when 0 seconds have passed. Thus, the maximum height occurs at x = 0.

Finally, notice that the graph only ranges (on the x axis) from 0 to 2, this means that it takes 2 seconds to the balloon to hit the ground. Therefore, the water balloon is in the air for 2 seconds.