Algebra-1

We can solve this problem using the concept of exponential growth.

 

Step 1: Identify the exponential growth formula and relevant variables

The general formula for exponential growth in a situation like this is , where:

 is the final amount (in this case, the final number of disease cases).

 is the initial amount (the starting number of cases, which is  here).

 is the growth factor per period (since the number of cases doubles every week, the growth factor ).

 is the number of periods (we need to figure out how many weeks have passed, which is  weeks in this problem).

 

Step 2: Plug the values into the formula and calculate

We know that , , and

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