A new company is hiring employees rapidly. Everyday 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 would take the company 47 days to be at half capacity.

Step-by-step explanation:

From the question, it is stated that the number of employees doubles in size everyday. This implies that the current day capacity is equal to the previous day capacity. This can be written in a mathematical form as follows:

Current day capacity = Previous day capacity * 2 (1)

We can assume that the current day capacity which is 48th day in this question is equal to 100 employees. That is;

Current day capacity = 48th day capacity = 100

Substituting this into equation (1) above and solve for the previous day capacity, we have:

100 = Previous day capacity * 2

Previous day capacity = 100 / 2 = 50

Since 50 is half of 100 and the previous day is 47th day, it therefore implies that It would take the company 47 days to be at half capacity.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )