Health officials in Parsnipville are concerned about the recent outbreak of the flu. While scientists are working hard to find a vaccine, the town leaders are turning to you to predict how many people will be sick over time. They hope to find a vaccine in a week. Here are the facts: The epidemic started on Day 0 when Velma and Stanley returned from their exotic jungle vacation with symptoms of the flu. Each day, a sick person infects two additional people. The town of Parsnipville has 3800 citizens.

4372 people would have been sick over time.

Step-by-step explanation:

Since the vaccine would be found in a week, then the over time is a week (7 days). Each day, a sick person infects two additional people.

Number of people infected by Velma can be predicted as follows:

Day 1 - 2, Day 2 - 6, Day 3 - 18, Day 4 - 54, Day 5 - 162, Day 6 - 486, Day 7 - 1458

Number of people infected by Velma = 1458 + 486 + 162 + 54 + 18 + 6 + 2

                                                       = 2186

Also, number of people infected by Stanley can be predicted as follows:

Day 1 - 2, Day 2 - 6, Day 3 - 18, Day 4 - 54, Day 5 - 162, Day 6 - 486, Day 7 - 1458

Number of people infected by Stanley = 1458 + 486 + 162 + 54 + 18 + 6 + 2

                                                       = 2186

Total number of people than can be infected over time = 2186 + 2186

                                                      = 4372

Therefore, the predictable number of infected people over time would be 4372. All citizens of Parsnipville would have been infected before the vaccine is available.