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

Answer:

common ratio will be 1.05.

Step-by-step 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

                                                                    = $\frac{5}{100}$ × 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

=  $\frac{1.05a}{a}$  =  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.