The number of a certain type of bacteria, y, in a culture is determined by the equation y= 200(4)^x where x is the number of days the culture has been growing. Find the number of bacteria present after 6 days
y = 200(4)^x
x = 6 (after 6 days)
y = 200(4)^6
y = 200(4096)
y = 819,200
After 6 days, there are approximately 819,200 bacteria present in the culture.
To find the number of bacteria present after 6 days, we substitute x = 6 into the equation y = 200(4)^x:
y = 200(4)^6
Now we calculate:
y = 200(4096)
y = 819,200
Therefore, the number of bacteria present after 6 days is 819,200.