PlEASE HELP MEE ASAP 50 PTS The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds:

Time (In seconds)
Part A: During what interval(s) of the domain is the water balloon's height increasing?

Part B: During what interval(s) of the domain is the water balloon's height staying the same?

Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer.

Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds. Use complete sentences to support your answer.

The data for linear pair are;

The domain are the values (input) on the x-axis which is the time

The range are the values input on the y-axis which is the height reached by the balloon

Part A

The interval of the domain during which the water balloon height is increasing is 0 ≤ x ≤ 2

Part B

The intervals of the domain the water balloon’s height stays the same are;

2 ≤ x ≤ 3 and 6 ≤ x ≤ 8

Part C

The water balloon height is decreasing at the following intervals;

At the interval 3 ≤ x ≤ 4

The rate of decrease = (20 ft. – 80 ft.)/(4 s – 3 s) = -20 ft./s.

At the interval 4 ≤ x ≤ 6

The rate of decrease = (0 ft. – 20 ft.)/(6 s – 4 s) = -10 ft./s

Therefore, the interval of the domain that the balloon’s height is decreasing the fastest is 3 ≤ x ≤ 4

Part D

According to Newton’s law of motion, provided that the no additional force is applied to the the balloon, at 10 seconds, the height of the water balloon is 0 ft. given that the height of the balloon is constantly decreasing from 3 seconds after being thrown off the roof, reaching a height of 0ft. at 6 seconds and maintaining that height up until 8 seconds.

By extending the graph further, the height of 0 ft. is obtained at 10 seconds after the balloon is thrown

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right