Concept explainers
a.
Explain the amplitude, period, and the midline of the function that approximate the temperature y on day d.
a.
Answer to Problem 42PPS
The amplitude, period and the midline are
Explanation of Solution
Given: It is given in the question that in one month, the outside temperature fluctuates between
Concept Used:
In this, use the concept of general equation of cosine
Calculation: Since, the maximum and minimum are
First find the midline d,
Since, the amplitude is the difference between midline and maximum and minimum value.
It takes four days from the maximum to minimum which is its period.
So, the period is
Conclusion:
The amplitude, period and the midline are
b.
Find the cosine function to estimate the temperature y on day d.
b.
Answer to Problem 42PPS
The function is
Explanation of Solution
Given: It is given in the question that he amplitude, period and the midline are
Concept Used:
In this, use the concept of general equation of cosine
Calculation: Let the equation be
Since,
Now,
Put the above value in the equation
The equation is
Conclusion:
The function is
c.
Draw the graph of the function.
c.
Explanation of Solution
Given:
It is given in the question that the function is
Graph:
Interpretation: Here, put the function
d.
Calculate the temperature of the seventh day of the month.
d.
Answer to Problem 42PPS
The temperature will be
Explanation of Solution
Given:
It is given in the question that the function is
Concept Used:
In this, use the concept of substituting the given value in the function and get the solution.
Calculation: Here, the function
Substitute the value
Conclusion:
The temperature will be
Chapter 12 Solutions
Glencoe Algebra 2 Student Edition C2014
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