Question

can someone help me on this question with step by step explaination
and reasoning

Answer 1

Answer: Same

Step-by-step explanation:

Given formula

$Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%$

Given information

Troop A:

• Original (2010) = 14
• New (2011) = 16

Troop B:

• Original (2010) = 21
• New (2011) = 24

Substitute values into the formula (Troop A)

$Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%$

$Percent~of~change~=~\Large\frac{(16)~-~(14)}{(14)}*100\%$

Simplify the fraction

$Percent~of~change~=~\Large\frac{2}{14}*100\%$

$Percent~of~change~=~\Large\frac{1}{7}*100\%$

$Percent~of~change~\approx~14.29\%$

Substitute values into the formula (Troop B)

$Percent~of~change~=~\Large\frac{New~-~Original}{Original}*100\%$

$Percent~of~change~=~\Large\frac{(24)~-~(21)}{(21)}*100\%$

Simplify the fraction

$Percent~of~change~=~\Large\frac{3}{21}*100\%$

$Percent~of~change~=~\Large\frac{1}{7}*100\%$

$Percent~of~change~\approx~14.29\%$

Compare the two percent of change

$Troop~A~v.s.~Troop~B$

$14.29\%~=~14.29\%$

Therefore, they are $\Large\boxed{Same}$

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

The answer is same.

Finding the percentage of change for Troop A :

New - Original / Original × 100%

• 16 - 14 / 14 × 100%
• 1/7 × 100%
• 14.29%

Finding the percentage of change for Troop B :

• 24 - 21 / 21 × 100%
• 1/7 × 100%
• 14.29%

Both the troops have the same percent change in membership.