The equation N(t) = ac^t can be used to model the growth of of a human embryo, where N(t) represents the number of cells and t represents the number of days elapsed

Question

Days Elapsed | Number of Cells
0 3
4 6
8 12
12 24

state the value of a
state the value of c

Answer 1

c^0 = 1, so
a = 3
6 = 3*2^1
12 = 3*2^2
so N(t) = 3*2^(t/4) = 3*(2^(1/4))^t
c = 2^(1/4)
...