Answer:
1. The expression that represents the number of cases of flu weeks after January 4 is option b: 24 * (1.5)^x.
In this expression:
- The number 24 represents the initial number of flu cases reported on January 4.
- The number 1.5 represents the growth factor of the exponential model.
- The variable x represents the number of weeks that have passed since January 4.
By plugging in different values for x, we can calculate the number of flu cases reported in each subsequent week.
2. To determine if the number of cases reported would be greater than 300 after 5 weeks, we need to evaluate the expression for x = 5:
24 * (1.5)^5 = 24 * 7.59375 = 182.25
Since the result is 182.25, which is less than 300, we can conclude that if the trend continued, the number of cases reported after 5 weeks would not be greater than 300.
Explanation: