Answer:
7. a. and b. 768,000.
8. .
Step-by-step explanation:
We know that, the exponential model is given by , where a = initial amount, b = growth rate and x = time period.
7. We are given that the initial population of bacteria is 12,000.
Also, the culture of bacteria doubles each day.
a. So, the exponential model becomes , where x is the number of days.
b. Now, the population of bacteria after 6 days is i.e i.e.
Hence, the population after 6 days is 768,000.
8. We have that the initial number of students in the class is 4000.
Also, the growth rate of students is 5% i.e. 0.05.
Therefore, the number of students graduating t years after 2008 are i.e. .