Reading Questions over Section 3.4 and 3.5   Name________________________

1.   Examine the functions P, Q, and R in Section 3.4 Example 1 written in the form P =aekt.
      For the function P, what is the value of k? _____  Is P increasing or decreasing? _____________
      For the function Q, what is the value of k? _____  Is Q increasing or decreasing? _____________
      For the function R, what is the value of k? _____  Is R increasing or decreasing? _____________

2.   Each of the functions P, Q, and R in Section 3.4 Example 1 can be written in the form a(b)t
      for some numbers a and b. If so, what would be the value of a? _______

3.   Each of the functions P, Q, and R in Section 3.4 Example 1 can be written in the form a(b)t
      for some numbers a and b.
      Give the value of b for P =5e0.3t (round to two decimal places)_________ 
      Give the value of b for Q =5e0.2t (round to two decimal places)_________ 
      Give the value of b for R =5e−0.2t (round to two decimal places)_________ 

4.   Suppose each of the functions P, Q, and R in Section 3.4 Example 1 represented populations of
      different countries (in millions), where t is given in years.
      For P =5e0.3t the population grows at an annual rate of _____% per year
             and at a continuous rate of ____% per year.
      For Q =5e0.2t the population grows at an annual rate of _____% per year
             and at a continuous rate of ____% per year.
      For R =5e−0.2t the population decreases at an annual rate of _____% per year
             and at a continuous rate of ____% per year.

5. Suppose Account A pays 52% interest once per year. (OK, use your imagination.)
    Account B pays 1% interest every week. (Note there are 52 weeks in a year.)
    Without a calculator, decide which account is better after 1 year.
    o  Account A
    o  Account B
    o  Both the same.