On a College Campus of 10,000 Students, a Single Student

question 32

Multiple Choice

On a college campus of 10,000 students, a single student returned to campus infected by a disease. The spread of the disease through the student body is given by , where y is the total number infected at time t (in days) . The school will shut down if 50% of the students are ill. What value of t corresponds to this percentage? ​

• A)Infinity
• B)8.19
• C)9.30
• D)6.44
• E)3.96

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Definitions:

Hand Sanitizer

A liquid or gel typically used to decrease infectious agents on the hands, commonly alcohol-based.

Antibacterial Liquid Soap

A type of soap containing agents designed to kill bacteria and other germs, used for cleansing the skin.

Scrubbing Hands

The process of thoroughly cleaning the hands with soap and water, often for a specified period, to remove germs and prevent infection transmission.

Acquired Active Immunity

Immunity developed through exposure to pathogens or through vaccination, leading to the production of antibodies.