Question

During what interval(s) of the domain is the water balloon's height increasing?

a. 0 to 2 seconds
b. 4 to 6 seconds
c. 6 to 8 seconds
d. 0 to 7 seconds
During what interval(s) of the domain is the water balloon's height staying the same?
a. 2 to 3 seconds
b. 4 to 6 seconds
c. 7 to 8 seconds
d. 0 to 7 seconds
During what interval(s) of the domain is the water balloon's height decreasing the fastest?
a. 2 to 3 seconds
b. 3 to 4 seconds
c. 6 to 8 seconds
d. 0 to 7 seconds
Use the constraints of the real-world situation to predict the height of the water balloon at 10 seconds.
a. 0 feet
b. 20 feet
c. 60 feet
d. 80 feet

Answer 1

The height of the water balloon is increasing from 0 to 7 seconds, staying the same from 4 to 6 seconds, and decreasing the fastest from 6 to 8 seconds. The height of the water balloon at 10 seconds cannot be determined.

Step-by-step explanation:

To determine when the water balloon's height is increasing, we need to find intervals where the velocity is positive. From the given information, we can conclude that the water balloon is at its highest point at 7 seconds. Therefore, the water balloon's height is increasing from 0 to 7 seconds, which corresponds to option d.

The water balloon's height stays the same when its velocity is zero. From the given information, we can determine that the water balloon's height stays the same from 4 to 6 seconds, which corresponds to option b.

The water balloon's height is decreasing when its velocity is negative. From the given information, we can conclude that the water balloon's height is decreasing the fastest from 6 to 8 seconds, which corresponds to option c.

Given the constraints of the real-world situation, it is not possible to predict the height of the water balloon at 10 seconds. Therefore, the answer is not listed among the given options.