Question

In 2007, 4% of people buying new cell phones purchased a Bluetooth earpiece during the same transaction. In 2012, 28% of people buying new cell phones purchased a Bluetooth earpiece during the same transaction. Of the following choices, which two statements about the growth of Bluetooth sales are true?

a) Bluetooth sales increased by 4%
b) Bluetooth sales increased by 24%
c) Bluetooth sales increased by 700%
d) Bluetooth sales increased by 28%

Answer 1

The percentage of people purchasing Bluetooth earpieces with new cell phones increased from 4% to 28% between 2007 and 2012, resulting in a 24% increase in Bluetooth sales and a 600% relative increase.

Step-by-step explanation:

When considering the growth in Bluetooth sales from 2007 to 2012, the percentage of people buying new cell phones who also purchased a Bluetooth earpiece during the same transaction increased from 4% to 28%. This can be calculated by taking the difference between the two percentages.

• Initial percentage of Bluetooth earpiece sales in 2007: 4%
• Percentage of Bluetooth earpiece sales in 2012: 28%
• Growth in Bluetooth earpiece sales: 28% - 4% = 24%

To calculate the percentage increase, we use the following formula:

Percentage Increase = (New Percentage - Original Percentage) / Original Percentage x 100%

Applying the formula:

Percentage Increase = (28% - 4%) / 4% x 100% = 24% / 4% x 100% = 600%

Given this information, the correct statements regarding the growth of Bluetooth sales are that the sales increased by 24% (option b) and increased by 600% (there is a typo in the options as none of them correctly state 600%).