On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.

Time (x)

Height (y)
0 10
2 24
16 10
How high was the ball after 8 seconds?

20 feet
42 feet
96 feet
106 feet

1 answer

To find the height of the ball after 8 seconds, we need to look at the pattern of the heights given.

From the data provided:
When x=2, y=24
When x=16, y=10

The height decreases from 24 to 10 as the time increases from 2 to 16.

So, we can infer that the pattern is a parabolic trajectory.

To find the height after 8 seconds, we can estimate by identifying where the point x=8 falls on the trajectory between x=2 and x=16.

Without seeing the exact trajectory, an estimate using a simple average would place the height of the ball after 8 seconds closer to 24 feet than to 10 feet.

Therefore, the estimated height of the ball after 8 seconds is around 20 feet.

Therefore, the most appropriate answer choice from the given options would be:

20 feet