Question

[30] the manager of an online news service received the report above on the number of subscriptions sold by the service. the manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. how many subscriptions did the manager expect would be sold in 2014?

Answer 1

Calculate the percent increase from 2012 to 2013:

(200,000 - 150,000) / 150,000 * 100% = 33.33%

Double that percent increase:

33.33% * 2 = 66.67%

Use the percent increase from 2013 to 2014 and the doubled percent increase to estimate the number of subscriptions sold in 2014:

Let x be the number of subscriptions sold in 2013.

The percent increase from 2013 to 2014 is:

(250,000 - x) / x * 100%

The doubled percent increase from 2012 to 2013 is:

66.67%

So, the estimated percent increase from 2012 to 2014 is:

1 + 0.3333 + 0.6667 = 2

Therefore, the estimated number of subscriptions sold in 2014 is:

250,000 * 2 = 500,000

Therefore, the manager expected that 500,000 subscriptions would be sold in 2014.