Math 160

Quiz 2 Name:
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September 12, 2013

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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: