Question

Based on the information provided in the Ethan Hunt scenario, for each of the following statements, select Yes if the statement accurately reflects the information given in the tabs. Otherwise, select No.
The city with the highest vulnerability index saw less than 30 new cases on Day 2.

Answer 1

Step 1: From the bar chart, identify the city with the highest vulnerability index (VI). This is Athens, with a VI of 8.
Step 2: From the map, find the number of cases in Athens on Day 1. Cases\(_{D1}\) = 36.
Step 3: Use the Chimaera Propagation Model to calculate the total number of cases on Day 2. \[ \text{Cases}_{t+1} = \text{Cases}_t \times \left(1 + \frac{\text{Vulnerability Index}}{10}\right) \] \[ \text{Cases}_{D2} = 36 \times \left(1 + \frac{8}{10}\right) = 36 \times 1.8 = 64.8 \] The model states to round down if the decimal is .5, so we round to the nearest integer, which is 65. Let's re-read the rounding rule: "rounded off to the nearest integer, if it is xy.5 for a given day, round it down to xy". This means standard rounding for everything except .5, which rounds down. So, 64.8 rounds to 65. Let me re-check the previous solution based on this. 36 * 1.8 = 64.8. This rounds to 65. New cases = 65 - 36 = 29. Ah, my previous calculation used flooring. Let's correct that for all problems. Cases\(_{D2}\) for Athens = 65. New Cases = 65 - 36 = 29. Step 4: Compare the number of new cases (29) with 30. Since 29 is less than 30, the statement is true. Select Yes.

Answer 2

Correct Answer: No Solution:
Step 1: From the table, identify the city with the lowest hospital surge capacity. This is Cagliari, with 40 daily beds.
Step 2: Get the data for Cagliari: VI = 6, Cases\(_{D1}\) = 40. The daily multiplier is (1 + 6/10) = 1.6.
Step 3: Calculate the progression of cases.

Cases\(_{D2}\) = \(40 \times 1.6 = 64\). (No rounding needed).
Cases\(_{D3}\) = \(64 \times 1.6 = 102.4\). This rounds to 102.
Step 4: Calculate the number of new cases on Day 3. \[ \text{New Cases}_{D3} = \text{Cases}_{D3} - \text{Cases}_{D2} = 102 - 64 = 38 \] Step 5: Compare the new cases (38) to the number of daily beds (40). Since 38 is not greater than 40, the statement is false. Select No.

Answer 3

Correct Answer: No Solution:
Step 1: From the bar chart, identify the cities with a VI less than 5. These are London (VI = 4.5) and Prague (VI = 4.5).
Step 2: We must check if the condition holds for *all* such cities. Let's test London.

Data for London: VI = 4.5, Cases\(_{D1}\) = 23.
Cases\(_{D2}\) = \(23 \times (1 + 4.5/10) = 23 \times 1.45 = 33.35\). This rounds to 33.
New Cases\(_{D2}\) = Cases\(_{D2}\) - Cases\(_{D1}\) = 33 - 23 = 10.
Step 3: Evaluate the statement for London. The number of new cases is 10. The statement says the number of new cases is "fewer than 10". Since 10 is not fewer than 10, the statement is false for London. We have found a counterexample. Select No.