Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 10 - Statistics - 10.1 Circle Graphs - 10.1 Exercises - Page 714: 39

Answer

(a) $\$200,000$ (b) Number of degrees in a circle graph for each item (in order from top to bottom of the table): $22.5^o, \space 72^o, \space 108^o, \space 90^o, \space 67.5^o$ (c) Refer to the circle graph below.
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Work Step by Step

(a) The total sales can be found by adding the annual sales of the five categories to obtain: Total sales = $\$(12,500+40,000+60,000+50,000+37,500)=\$200,000$ (b) The number of degrees in a circle for each item can be found by dividing the the annual sales in the category by the total sales and multiplying the result to 360 degrees: Adventure classes: $=\dfrac{12500}{200000} \cdot 360 = 22.5$ degrees Grocery and provision sales: $=\dfrac{40000}{200000} \cdot 360 = 72$ degrees Equipment rentals: $=\dfrac{60000}{200000} \cdot 360 = 108$ degrees Rafting tours: $=\dfrac{50000}{200000} \cdot 360 = 90$ degrees Equipment sales: $=\dfrac{37500}{200000} \cdot 360 = 67.5$ degrees (c) Make a circle graph by using the degree measure of each category. Use a protractor for accurate circle graph and label the parts. (Refer to the circle graph in the answer part above.)
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