An Analysis of Volunteer Acceptance Rates

The Calculation of Accepted Volunteers

In this scenario, out of 50 volunteers, based on an 80% rejection rate, only 10 volunteers are accepted (20% acceptance rate), represented by the variable y in the equation y = 50 * 0.20.

Given Information:

The organization accepts 50 volunteers per day.

Based on past data, 80% of volunteers are turned away for some reason. y represents the number of volunteers accepted out of a set of 50 volunteers.

Determine Acceptance Rate:

The acceptance rate is the complement of the rejection rate. If 80% are turned away, 20% are accepted. In decimal form, 20% is 0.20 (since 20% = 20/100 = 0.20).

Calculate the Number of Volunteers Accepted:

To find y (the number of volunteers accepted), multiply the total number of volunteers (50) by the acceptance rate (0.20).

This calculation determines the number of volunteers who will be accepted out of the total 50 volunteers.

Mathematical Calculation:

y = 50 * 0.20

y = 10

Conclusion:

Therefore, based on the given acceptance rate of 20% from past data, out of a set of 50 volunteers, 10 volunteers will be accepted.

The variable y represents the number of volunteers accepted in this scenario. This process shows how the acceptance rate (20%) is applied to the total number of volunteers (50) to determine the number of volunteers accepted (y = 10).