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573589
20.10.2021 •
Mathematics
What’s A and B for this ?
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Ответ:
Part A) Interval [0,2]
Part B) Interval [2,3] and [6,8]
Part C) In the interval [3,4] the water balloon's height decreasing the fastest
Part D) The water balloon's height at 10 seconds is equal to zero
Step-by-step explanation:
Part A: During what interval(s) of the domain is the water balloon's height increasing?
see the attached figure to better understand the problem
During the interval [0,2] the height of the water balloon is increasing
All real numbers greater than or equal to 0 seconds and less than or equal to 2 seconds
The slope of the linear equation in that interval is positive
Part B: During what interval(s) of the domain is the water balloon's height staying the same?
Looking at the graph
During the interval [2,3] and [6,8] the water balloon's height is the same
The slope of the linear equation in that intervals is equal to zero ( is a horizontal line)
Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest?
Determine the slope
The formula to calculate the slope between two points is equal to
Interval [3,4]
For x= 3 sec ----> h=80 ft
For x= 4 sec ----> h=20 ft
substitute
Interval [4,6]
For x= 4 sec ----> h=20 ft
For x= 6 sec ----> h=0 ft
substitute
therefore
In the interval [3,4] the water balloon's height decreasing the fastest, because the graph has the steepest negative slope
Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 10 seconds
Looking at the graph
During the interval [6,8]
The water balloon's height at 10 seconds is equal to zero, because the water balloon hit the ground at x=6 sec