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At Generic Middle School, 6 students were sick with the flu during the first week of school. In the second week, 10 students were sick, and in the third week, 15 students were sick. The attendance clerk noticed that the number of students getting sick was growing exponentially with a growth factor of 1.6.

If this model continues to be correct for at least the first three months, how many students would be sick on the 12th week of school?

Provide a written explanation for your answer.

Answer :

If the model is true, there would be around 1689 students sick during the 12th week of classes.

The number of students getting sick was growing exponentially with a growth factor of ‘1.6.

Week 1 : (6)

Week 2 : (10)

Week 3 : (15).

To find the number of students sick on the 12th week of school, we can use the formula for exponential growth:

y = a bˣ

Where:

y is the number of students sick on the x th week

a is the number of students sick on the first week (6 in this case)

b is the growth factor (1.6 in this case)

x is the number of weeks that have passed (12 in this case)

Plugging in the values, we get:

y = 6 · 1.6¹²

Solving for y, we get:

y = 6 · 281.47

y = 1688.8 ≈ 1689

Therefore, there would be approximately 1689 students sick on the 12th week of school if the model is correct.

Learn more about exponential function here:

brainly.com/question/11487261

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