Question

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?

Answer 1

a. What is the percent of change in membership from 2010 to 2011 for Troop A?

`(16-14)/(14)*100` = 14.28%

b. What is the percent of change in membership from 2010 to 2011 for Troop B?

`(24-21)/(21)*100` = 14.28%

c. Which troop has the better record in terms of the number of new members?

Troop B.

d. Which troop has the better record in terms of the percent of change in membership?

Both have the same percentage change.

Answer 2

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:

`\frac{\text{amount of change}}{\text{original amount}}* 100`

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

`(2)/(14)* 100=14.3 \%`

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

`(3)/(21)* 100=14.3\%`

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.