Quiz 2 Exponential Growth

There were 3000 termites under your neighbor's house. After a week, there were 3150 termites. Assuming an exponential growth rate, estimate the number of termites in 4 weeks. Use  $y=Ce^{kt}$  

• 3600

• 3647

• 3755

• 12600

A single-cell amoeba doubles every 4 days. In how many days will the number of amoeba triple? Use  $y=Ce^{kt}$  

• A.  $\frac{4\ln3}{\ln2}$   days

• B.  $\frac{2\ln3}{\ln4}$   days

• C.  $\frac{\ln3}{\ln2}$   days

• D.  $\ln\frac{81}{2}$   days

James' 70 in. giant peach doubles in size every 2 weeks. Using the function $y=Ce^{kt}$ , what is k?

•  $\frac{\ln2}{2}$  

•  $\ln2$  

•  $2\ln2$  

•  $\frac{2}{\ln2}$  

A colony of bacteria is grown under ideal conditions in a laboratory so the population increases with time. At the end of 3 hours there are 10,000 bacteria. At the end of 5 hours there are 40,000 bacteria. How many bacteria were initially present?

• 1,050 bacteria

• 1,150 bacteria

• 1,250 bacteria

• 1,350 bacteria