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

Question

Quizplus · Accepted Answer

The number of cases in year 40 can be estimated by plugging t = 40 into the function:r(40) = 142 * e^(0.004 * 40) = 167.32Therefore, the estimated number of cases in year 40 is 167.

The Number of Reports of a Certain Virus Has Increased r(t)=142e0.004t\mathrm { r } ( \mathrm { t } ) = 142 \mathrm { e } ^ { 0.004 \mathrm { t } }r(t)=142e0.004t

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