Question

At a local high school, enrollment in the drama club increases by 5 percent each year. What is the common ratio in this situation?

Answer 1

common ratio will be 1.05.

Explanation:

At a local high school, enrollment in the drama club increases by 5%.

Let initial number of students in high school is 'a'.

so next year increase in students will be = 5% of a

=
`(5)/(100)` × a

= 0.05a

and total number of the students will be = ( a + 0.05a )

= ( 1.05a )

So common ratio of the geometric square formed will be

=
`(1.05a)/(a)` = 1.05

Therefore, common ratio will be 1.05.

Answer 2

(new enrollment) = (old enrollment) +5%*(old enrollment)
.. = (old enrollment)*(1 +5%)
.. = (old enrollment)*1.05

The common ratio is 1.05.