a.
To find: Independent variable and dependent variable of the periodic function that represents the given situation.
a.
Answer to Problem 30PPS
Period of given situation is
Independent variable : time
Dependent variable : height
Explanation of Solution
Given information:
The difference between the highest and lowest poits if
He jumps
Here
Independent variable is time
Dependent variable is height
Given
He jumps
It means
Period
Therefore,
Period of given situation is
b.
To find: Graph that represents the given situation.
b.
Explanation of Solution
Given information:
The difference between the highest and lowest poits if
He jumps
Here
Independent variable is time
Dependent variable is height
Given
He jumps
It means
Period
We know amplitude is equal to difference between highest and lowest point divided by
Therefore,
Amplitude
Given that
His starting point is halfway between the highest and lowest point.
It means it lies at Origin.
Therefore,
It is a sine function
On substituting values
We get
Therefore,
Equation that represents given situation is
Graph of above equation is
Chapter 12 Solutions
Glencoe Algebra 2 Student Edition C2014
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