Question

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

Answer 1

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.

Answer 2

Answer: Same

Explanation:

Given formula

`Percent~of~change~=~\Large(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(New~-~Original)/(Original)*100\%`

`Percent~of~change~=~\Large((16)~-~(14))/((14))*100\%`

Simplify the fraction

`Percent~of~change~=~\Large(2)/(14)*100\%`

`Percent~of~change~=~\Large(1)/(7)*100\%`

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

Substitute values into the formula (Troop B)

`Percent~of~change~=~\Large(New~-~Original)/(Original)*100\%`

`Percent~of~change~=~\Large((24)~-~(21))/((21))*100\%`

Simplify the fraction

`Percent~of~change~=~\Large(3)/(21)*100\%`

`Percent~of~change~=~\Large(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