Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Chapter 5.3, Problem 100E
To determine

To find: The months in which the unit sales exceed 7,500 .

Expert Solution & Answer
Check Mark

Answer to Problem 100E

The months in which the sales exceeds 7500 are January and November.

Explanation of Solution

Given information:

The monthly unit sales U (in hundreds) of skis for a chain of sports stores are approximated by,

  U=58.3+32.5cosπt6

Where t is time(in months), with t=1 corresponding to January.

Calculation:

Use table feature of a graphing utility to construct a table of values for the given function. To do this, enter

  y=58.3+32.5cosπt6

Now create a table that shows the values of y for different values of t(1−12) .

The table is obtained as:

Interpretation:

According to the table, U>75 for t=1,11 .

Therefore, the months in which the sales exceeds 7500 are January and November.

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Chapter 5.3, Problem 99E
Next
Chapter 5.3, Problem 101E

Chapter 5 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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