There will be 7,168 bacteria on day 10.
The population of bacteria doubles every day, which indicates exponential growth. If on day 6 there were 448 bacteria, then each day the population doubles. To find the number of bacteria on day 10, we can use the formula for exponential growth:
Population=Initial Population×(2^Number of Days)
Given that on day 6 there were 448 bacteria, we can substitute these values into the formula:
Population on day 10=448×(2^10−6)
Solving this, we get:
Population on day 10=448×2^4=448×16=7,168
Therefore, there will be 7,168 bacteria on day 10.