Math 160
Quiz 2                                                                                    Name:                 Key                                                       

September 12, 2013

                You must show all work to receive credit

                Numerical answers should be accurate to at least 3 decimal places

 

1.       Suppose there are initially 500 bacteria in a colony, and after 3 hours there are 1000 bacteria.

a.       Find a formula for the size of the population after t hours.

 

At time 0 there are 500 bacteria, and at time 3 there are 1000, so we have the two data point (0,500) and (3,1000).  Using the formula this tells us

1)    

2)    

 

 

b.      How many bacteria will there be after 10 hours?

 

 

 

2.        Write a logarithmic expression equivalent to the following:   

 

 

 

3.       Solve: