The Number of Reports of a Certain Virus Has Increased $$\mathrm { r } ( \mathrm { t } ) = 142 \mathrm { e } ^ { 0.004 \mathrm { t } }$$

question 212

Multiple Choice

The number of reports of a certain virus has increased exponentially since year 0. The number of cases can be approximated using the function $$\mathrm { r } ( \mathrm { t } ) = 142 \mathrm { e } ^ { 0.004 \mathrm { t } }$$ , where t is the number of years since year 0. Estimate the
Number of cases in year 40.

• A) 125 cases
• B) 167 cases
• C) 333 cases
• D) 160 cases

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Definitions:

Estrogen

A group of steroid hormones responsible for the development and regulation of the female reproductive system and secondary sex characteristics.

Progesterone

Steroid hormone secreted by the corpus luteum and one of the hormones secreted by the placenta.

Ductus Arteriosus

A fetal blood vessel that allows blood to bypass the lungs, which closes soon after birth to establish the regular circulatory path.

Ductus Venosus

A fetal blood vessel that connects the umbilical vein to the inferior vena cava, allowing oxygenated blood from the placenta to bypass the liver and enter the systemic circulation.