Patrick was sick and had to take 50 mg of antibiotics each day for 2 weeks. Each day he takes his medicine the amount in his body doubles. How much medicine will be in his body at the end of the 2 weeks?

Question

Patrick was sick and had to take 50 mg of antibiotics each day for 2 weeks.  Each day he takes his medicine the amount in his body doubles.  How much medicine will be in his body at the end of the 2 weeks?

jack1 · Answer

day 1: 50 = a  x n^0     (n=2, a=50)
day 2: 100 = a  x n^1   
day 3: 200 = a  x n^2
... continue the series to get 
day 14:  x   = a   x  n^13

jack1 · Answer

sorry, bad choice of terms
day 14:  y   = a   *  n^13

jack1 · Answer

so solve for y
...let us know if u dont understand something

anonymous · Answer

i dont understand how to solve for y

jack1 · Answer

gotcha
y = a   *  n^13

and: 
a = 50
n = 2

so
$$y = a \times n ^{13}$$

jack1 · Answer

sub in a = 50 and n = 2 into the above equation

jack1 · Answer

$$ y = 50 \times 2^{13}$$

jack1 · Answer

=...? @haiven ?

anonymous · Answer

oh okay i get it now (: