Question

Based on the graph above, for which of the following two consecutive years was the percentage increase in U.S. annual salt production the same as the percent decrease from $2010$ to $2011?$

• A. $2009$ to $2010$
• B. $2012$ to $2013$
• C. $2013$ to $2014$
• D. $2014$ to $2015$

Answer 1

The correct option is C $2013$ to $2014$

$\Rightarrow$ Salt production in year $2010=40$

$\Rightarrow$ Salt production in year $2011=30$

$\Rightarrow$ Decrease in salt production from $2010$ to $2011=40-30=10$

$\%$ of decrease in salt production from $2010$ to $2011=\frac{10}{40}\times 100=25\%$

$\Rightarrow$ Now, Salt production in year $2013=20$

$\Rightarrow$ Salt production in year $2014=25$

$\Rightarrow$ Increased in salt production from $2013$ to $2014=25-20=5$

$\%$ of increased in salt production in year $2013$ to $2014=\frac{5}{20}\times 100=25\%$

$\therefore$ The two consecutive years was the percentage increase in U.S. annual salt production the same as the percent decrease from $2010$ to $2011=2013to2014$