Name:______________________________________________ Section ___________ 
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 %
 

Question 1b: Write a possible formula for the function
shown in the table below:
 
V 10 250 6250 156250
t 1 3 5 7

(a) Write answer in the form: P=P0(b)t
 

(b) Write answer in the form: P=P0(e)kt
 

Question 2a. Write a possible formula for the 
function shown below:
 
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
 
 
 

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)
 
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
(b) Compounded daily
(c) Compounded Continuously