Question

The bar graph shows the number of hurricanes in the Atlantic Basin from 2006 - 2011.

Between which two years was the percent change the greatest? What was the percent of change during the period.

Answer 1

Firstly, we will find smallest value and largest value

smallest value is in 2009

and smallest value is 3

largest value is in 2010

and largest value is 12

So, percentage change will be greatest between 2009 to 2010

now, we can find percentage change

$=\frac{12-3}{3}\times 100$

$=\frac{9}{3}\times 100$

$=300$ %..............Answer

Answer 2

Answer:

Between 2009 and 2010 hurricanes increased a 428%

Step-by-step explanation:

The greatest percentage change refers to which two years presents the biggest difference.

So, to answer the question of the problem, we observe that 2009 is the least year and 2010 (the consecutive year) is the greatest year, this means that they proportion has the biggest difference.

Now, we have to find the percentage for each year, which is calculated dividing the number of hurricanes of the year by the total number of hurricanes of all years together.

From the graph, we observe that the total hurricanes from 2006 to 2011 is

$5+6+8+3+12+7=41$

Now, the percentage of the year 2009 is

$\frac{3}{41}=0.07 (or \ 7\%)$

The percentage of the year 2010 is

$\frac{12}{41}=0.30 (or \ 30\%)$

So, from 2009 to 2010, the percentage of hurricanes increased

$\frac{30}{7}=4.28 (or \ 428\%)$

This means that between 2009 and 2010 hurricanes increased a 428%, which is nuts.