Can you do Test 7 Section 4 #30?

The manager projects that the percent increase from 2012 to 2013 will be double the increase from 2013 to 2014. You’re given the 2012 and 2013 numbers, so start by figuring out that percent increase.

There were 5600 subscriptions sold in 2012 and 5880 sold in 2013. Percent increase is change divided by original value times 100%:

    \begin{align*}\text{percent change}&=\dfrac{\text{change}}{\text{original value}}\times 100\%\\&=\dfrac{5880-5600}{5600}\times 100\%\\&=5\%\end{align*}

If there was a 5% increase from 2012 to 2013, and the manager believes that will be double the increase from 2013 to 2014, then he projects a 2.5% increase into 2014.

All we need to do from here is apply 2.5% growth to the 2013 number we know to arrive at the manager’s 2014 projection.

    \begin{align*}5880+\left(\dfrac{2.5}{100}\times 5880\right)=6027\end{align*}

So the answer is B.

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