Question

At a local high school, enrollment in the drama club increases by 5% each year. What is the common ratio in this situation? 0. 05 0. 95 1. 05 01. 95.

Answer 1

The common ratio in the geometric progression is the ratio of any one phrase in the series divided by the preceding term. The common ratio in this situation is 1.05.

What is the common ratio?

The common ratio in the geometric progression is the ratio of any one phrase in the series divided by the preceding term. It is usually symbolized by the letter "r."

The given data in the problem will be;

Enrollment in the drama club increases by 5% each year

If the value of old enrollment is x and the value of new enrollment is y then

$\rm y=x+5 \% \ of\ x \\\\ y=x+0.05x= 1.05 x$

The common ratio in the new and old is found by;

$\rm r= \frac{1.05x}{x} \\\\ \rm r= 1.05$

Hence C is correct. The common ratio in this situation is 1.05.

To learn more about the common ratio refer to the link;

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