Question

Before the advent of antibiotics, an outbreak of cholera might spread through a city so that the number of cases doubled every 4 days. a. twenty-seven cases were discovered on july 5. write a function for the number of cases of cholera days later.

Answer 1

The function that represents the number of cases of cholera days later, given that the number of cases doubles every 4 days, can be expressed using exponential growth.

Step-by-step explanation:

The function that represents the number of cases of cholera days later, given that the number of cases doubles every 4 days, can be expressed using exponential growth.

Let N be the number of cases on a given day. The function can be written as:

N = 27 * (2^(d/4))

where d is the number of days later.

For example, if we want to find the number of cases 8 days later, we can substitute 8 for d in the function:

N = 27 * (2^(8/4))

N = 27 * (2^2)

N = 27 * 4

N = 108

Therefore, 8 days later, there would be 108 cases of cholera.