A virus infects 100 people on the first day, and the number ...

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 this situation is , where:

is the final number of infected people.

is the initial number of infected people, which is in this case.

is the growth factor per day (since the number of infections doubles each day, ).

is the number of days passed, which is days in this problem.

Step 2: Plug the values into the formula and calculate

We know that , , and . Plugging these values into the exponential growth formula:

Algebra-1