Answer
A)800
Work Step by Step
A)You have p(x)=50 $\times$ $2^{x}$. 2 hours has 4 (30 minute periods) so plug in x=4 to find out the number of bacteria after 2 hours:
p(4)=50 $\times$ $2^{4}$
p(4)=50 $\times$ 16
p(4)=800
800 bacteria after 2 hours.
-----B)You have p(x)=50 $\times$ $2^{x}$. 24 hours has 48 (30 minute periods) so plug in x=48 to find out the number of bacteria after 1 day:
p(48)=50 $\times$ $2^{48}$
p(48)=100 $\times$ $2^{47}$
After 1 day, there would be 100 $\times$ $2^{47}$ bacteria.
