p(x)=50* 2^xHere, p(x) is the bacteria population after x 30-min periods. To calculate how many bacteria there will be after 2h, we have to start by determining how many 30-min periods there are in 2hours.
2h=120min
120min÷ 30min= 4
There are four 30-min periods in 2hours. Therefore, the bacteria population after 2h is equal to p( 4), the bacteria population after four 30-min periods. Let's substitute x= 4 into the given function and simplify!
p(x)=50* 2^x
Here, p(x) is the bacteria population after x 30-min periods. To calculate how many bacteria there will be after 1day, we have to start by determining how many 30-min periods there are in 1day. First, note the following.
1h=60min
60min÷ 30min=2
There are two 30-min periods in 1h. Now, recall that 1day is 24hours.
24* 2= 48
There are 48 30-min periods in 1day. Therefore, the bacteria population after 1day is equal to p( 48), the bacteria population after 48 30-min periods. Let's substitute x= 48 into the given function and simplify!
