A.)

Think of this problem as an interest problem. After a certain amount of time, your money (cells) will double.

The standard equation for simple compounding interest is y = P(R)^x

where

P is the principal/ initial amount

R is the rate at which your principle will increase

x is the time interval (seconds, days, year, etc.)

y is the final amount after x time

Knowing that we can make an equation

N= 1000(2)^(h)

where h is (t/14)

t is in hours so every fourteen hours the expression h increases by 1 and so the equation N doubles.

B.)

There are 24 hours in a day so in 2 days that is 48 hours

h will then be 48/14

plug this into the equation and you get

N= 1000(2)^(48/14) = 10767 cells (rounding down because you can't have a portion of a cell)