The given table shows the total number of views of a certain online video in 2014 and 2015. If the increase in the percent of views from 2014 to 2015 was double the increase in the percent of views from 2015 to 2016, what was the number of views of the video in 2016? The table tells us that in 2014 there were 5500 views. In 2015, there were 6600 views.
Our first step is to calculate the percentage increase from 2014 to 2015. In order to calculate any percentage increase, we need to work out the actual increase divide it by the original and then multiply the answer by one hundred. We can calculate the actual increase from 2014 to 2015 by subtracting 5500 from 6600. This is equal to 1100. The percentage increase is, therefore, 1100 divided by 5500 multiplied by 100. We could just enter this straight into our calculator, and it would give us an answer of 20 percent. However, if we didn’t have a calculator, we noticed that both the numerator and denominator are divisible by 100. We can cancel the two zeros. 11 and 55 are both divisible by 11. Therefore, the fraction simplifies to one-fifth. One-fifth multiplied by 100 or one-fifth of 100 is the same as 100 divided by five. This also gives us an answer of 20 percent.
The percentage increase from 2014 to 2015 was 20%. We’re told that the percentage increase from 2014 to 2015 was double the increase from 2015 to 2016. This means that from 2015 to 2016 the number of views increased by 10 percent. There are lots of ways we can then calculate the number of views in 2016. One way would be to calculate 10 percent of 6600 and then add on this answer. 10 percent of 6600 is 660. Adding this to 6600 gives us 7260. The total number of views of the online video in 2016 was 7260.
An alternative method to calculate the number of views in 2016 would be to notice that a 10-percent increase leads to a total of 110 percent. This means that the number of views in 2016 would be 110 percent of the views in 2015. 110 percent is equal to 1.1 or 1.10. We can multiply 6600 by 1.1. This also gives us an answer of 7260. A 20-percent increase from 2014 to 2015 followed by a 10-percent increase from 2015 to 2016 means that the total views in 2016 were 7260.