Anew company is hiring employees rapidly. every day, the number of employees doubles in size. if it takes 48 days for the company to be at full capacity, how many days would it take for the company to be at half capacity?

It is stated in the question that the number of employees doubles every day. This means that the current day's capacity is the same as the day before.

It would take the company 47 days to be at half capacity.  This can be written in a mathematical form as follows:

We can suppose that the current day capacity (CDC), which in this case is the 48th day, is 100 employees. That is to say;

When we plug this into equation (1) and solve for previous day capacity, we get:

×

Because 50 is half of 100 and the previous day was the 47th, the corporation would have to work for 47 days to reach half capacity.

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