Question

determine if there was a percent increase or decrease in the number of trench coats sold, and by how much. (round your answer to the nearest tenth.)

a. the percentage of trench coats sold decreased by 0.8%.
b. the percentage of trench coats sold increased by 0.8%.
c. the percentage of trench coats sold decreased by 23.3%.
d. the percentage of trench coats sold increased by 23.3%.

Explanation:

Calculate total sales and trench coat percentages

Using the Table Reading knowledge point, we extract the values from the pie charts.

For 2006:

• Top coats: \(297\)
• Parkas: \(210\)
• Jackets: \(213\)
• Raincoats: \(137\)
• Trench coats: \(103\)
• Total sales in 2006: \(297 + 210 + 213 + 137 + 103 = 960\)
• Percentage of trench coats in 2006: \(\frac{103}{960} \approx 10.729\%\)

For 2007:

• Topcoats: \(223\)
• Parkas: \(210\)
• Jackets: \(285\)
• Raincoats: \(259\)
• Trench coats: \(127\)
• Total sales in 2007: \(223 + 210 + 285 + 259 + 127 = 1104\)
• Percentage of trench coats in 2007: \(\frac{127}{1104} \approx 11.504\%\)

Determine the change in percentage

Using the Percentage Increase knowledge point

$$ \text{Change} = 11.504\% - 10.729\% = +0.775\% \approx +0.8\% $$

Since the value is positive, the percentage of trench coats sold increased by \(0.8\%\).

Calculate the change in absolute quantity

Using the Percentage Increase knowledge point

$$ \text{Percentage Increase in Quantity} = \frac{127 - 103}{103} \times 100\% = \frac{24}{103} \times 100\% \approx 23.3\% $$

The absolute number of trench coats sold increased by \(23.3\%\).

Match with the given options

The options describe the change in the "percentage of trench coats sold".

• The percentage of trench coats sold in 2006 was \(10.7\%\).
• The percentage of trench coats sold in 2007 was \(11.5\%\).
• This represents an increase of \(11.5\% - 10.7\% = 0.8\%\).

Therefore, option (b) is the correct choice.

Answer:

• (a) The percentage of trench coats sold decreased by 0.8%.
• (b) The percentage of trench coats sold increased by 0.8%. (Correct answer)
• (c) The percentage of trench coats sold decreased by 23.3%.
• (d) The percentage of trench coats sold increased by 23.3%.