Graphing exponential functions questions 7 and 8

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. .

If you were wondering the answer is $40.80