MATH SOLVE

4 months ago

Q:
# The table shows the membership of two scout troops.a. What is the percent of change in membership from 2010 to 2011 for Troop A? Round to the nearest tenth of a percent, if necessary.b. What is the percent of change in membership from 2010 to 2011 for Troop B? Round to the nearest tenth of a percent, if necessary.c. Which troop has the better record in terms of the number of new members?d. Which troop has the better record in terms of the percent of change in membership?

Accepted Solution

A:

The correct answers are:

A) 14.3%

B) 14.3%

C) Troop B

D) They are equal.

Explanation:

A) The percent of change is given by:

[tex]\frac{\text{amount of change}}{\text{original amount}}\times 100[/tex]

For Troop A, the amount of change is 16-14=2; the original amount is 14. This gives us:

[tex]\frac{2}{14}\times 100=14.3 \%[/tex]

B) The amount of change for Troop B is 24-21=3; the original amount is 21. This gives us:

[tex]\frac{3}{21}\times 100=14.3\%[/tex]

C) Troop A gained 2 more members, while Troop B gained 3; Troop B gained more new people.

D) Since the percent of change for each troop was equal, they both had an equal record in terms of percentage of new members.

A) 14.3%

B) 14.3%

C) Troop B

D) They are equal.

Explanation:

A) The percent of change is given by:

[tex]\frac{\text{amount of change}}{\text{original amount}}\times 100[/tex]

For Troop A, the amount of change is 16-14=2; the original amount is 14. This gives us:

[tex]\frac{2}{14}\times 100=14.3 \%[/tex]

B) The amount of change for Troop B is 24-21=3; the original amount is 21. This gives us:

[tex]\frac{3}{21}\times 100=14.3\%[/tex]

C) Troop A gained 2 more members, while Troop B gained 3; Troop B gained more new people.

D) Since the percent of change for each troop was equal, they both had an equal record in terms of percentage of new members.