Question

In the 18th century, there was an epidemic of cholera murbus that attacked most of the western states of the United States. The function below determines how many people got sick where t = time in days and S = the number of people in thousands.

S(t) = 3t^2 + 6, how many people were sick after 10 days?
a. 306,000
b. 306
c. 300,006
d. 30,600

Answer 1

To find out how many people were sick after 10 days using the function S(t) = 3t^2 + 6, we plug in 10 for t, giving us S(10) = 306. Since S is in thousands, this equates to 306,000 people, so the answer is (a) 306,000.

Step-by-step explanation:

The question involves calculating the number of people who were sick after a certain number of days, based on a given quadratic function S(t) = 3t2 + 6, where t is the time in days and S is the number of people in thousands who got sick. To find out how many people were sick after 10 days, the value of t would be substituted into the function, resulting in:

S(10) = 3(10)2 + 6

This simplifies to:

S(10) = 3(100) + 6 = 300 + 6 = 306

Since S is in thousands, this means 306,000 people were sick after 10 days. Therefore, the correct answer is (a) 306,000.