Workshop - Introduction
to Exponential Functions Precalculus - In Class Exercises Workshop Cover Sheet |
Group A | Group B | ||||||||||||||
Question 1a: Write
a possible formula for the exponential function with these 2 points: P5 = 10 and P10 = 5 Expects answer in the form: P=P0(b)t, where P0 and b are constants (a) Write formula:
(b) Write the percent rate in %
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Question 1b: Write
a possible formula for the function shown in the table below:
(a) Write answer in the form: P=P0(b)t
(b) Write answer in the form: P=P0(e)kt
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Question 2a. Write
a possible formula for the function shown below:
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Question 2b. The
number in attendance for the play "Grapes of Wrath" per week seems to follow an exponential function. If 125 patrons attended the 2nd week and 150 patrons the 4th week. Write a possible formula for the number of patrons, N attending per week, t since the play was opened. Expect answers in form: N=N0(b)t
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Question 3. When will a population growing at a constant rate of 0.09% per
year double in size? (Hint let P=2P0) Expect answer in years (reported to 4 decimal places)
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Question 4. What will be the balance of an investment account
of $60,000 after 25 years with an annual interest rate of 8.22% in the following
fund portfolios? (a) Compounded monthly $465,139.87 (b) Compounded daily $468,301.91 (c) Compounded Continuously $468,410.27 |