In a city with a population of 1,200,000, there are currently 1000 cases of infection with the HIV virus. If the spread of the disease is projected by the formula $$p = \frac { 1,200,000 } { 1 + ( 1200 - 1 ) e ^ { - 0.4 t } }$$ how many people will be infected in 8 years?
A)24,100 people
B)211,100 people
C)855,800 people
D)9,100 people
E)24,600 people

Question

Quizplus · Accepted Answer

By substituting $ t = 8 $ into the given formula, we calculate the number of infected people. The formula simplifies to approximately 24,100 people.

In a City with a Population of 1,200,000, There Are p=1,200,0001+(1200−1)e−0.4tp = \frac { 1,200,000 } { 1 + ( 1200 - 1 ) e ^ { - 0.4 t } }p=1+(1200−1)e−0.4t1,200,000​

In a City with a Population of 1,200,000, There Are $p = \frac { 1,200,000 } { 1 + ( 1200 - 1 ) e ^ { - 0.4 t } }$