A rabbit population doubles every 6 weeks. There are currently seven rabbits in a restricted area. If t represents the time, and weeks, and P(t) is the population of the rabbits, about how many rabbits with there be 126 days?

Respuesta :

Answer:

56 rabbits

Step-by-step explanation:

Given that  t represents the time, and weeks, and P(t) is the population of the rabbits and that the population doubles every 6 weeks.

In 126 days, there are

= 126/7

= 18 weeks

It means that the rabbit population will double

= 18/6 times

= 3 times

Since there are currently 7 rabbits at the end of 6 week,

P(6) = 7 * 2

= 14

At the end of 12 weeks

P(12) = 14 * 2 = 28

At the end of 18 weeks

P(18) = 28 * 2 = 56

Hence there will be 56 rabbits at the end of 126 days