lecture 4.1 bt
TRANSCRIPT
Today’s Agenda
Attendance / Announcements
Sections 4.1
Payday!You just got a job! You will work for 30 days. You may choose between three pay rates.
Rate Plan A pays $200,000 a day.
Rate Plan B pays $50,000 your first day and provides you with a $10,000 raise each subsequent day. (For instance, you earn $60,000 on the second day, $70,000 the third day, and so forth.)
Rate Plan C pays 2 cents the first day and doubles every subsequent day. (For instance, you earn 4 cents on the second day, 8 cents on the third day, and so forth)
Payday!
Rate Plan A pays $200,000 a day.
Payday!Rate Plan B pays $50,000 your first day and provides you with a
$10,000 raise each subsequent day. (For instance, you earn $60,000
on the second day, $70,000 the third day, and so forth.)
Payday!Rate Plan C pays 2 cents the first day and doubles every
subsequent day. (For instance, you earn 4 cents on the second day,
8 cents on the third day, and so forth)
Payday!Rate Plan C pays 2 cents the first day and doubles every
subsequent day. (For instance, you earn 4 cents on the second day,
8 cents on the third day, and so forth)
Payday!Rate Plan C pays 2 cents the first day and doubles every
subsequent day. (For instance, you earn 4 cents on the second day,
8 cents on the third day, and so forth)
Exponential Functions
xbxf )(
base
Variable is in
exponent
*Just because a function has an exponent, doesn’t mean it is an exponential function
xxxf 43)( 2
123)( xxg
13)( 3xxh
23)( xth
12
23)( xxf
Basic Graphsxxf 2)(
Basic Graphsxxf 2)(
Basic Graphsx
xf2
1)(
Basic Graphs32)( xxf
Basic Graphs
32)( xxf
This is
considered
Exponential Growth
What
common point
do they all
pass through?
This is
considered
Exponential Decay
Exponential Functions with Initial
Values
xbaxf )(
Initial Value,
or initial
population
Rate of
growth or
decay
Some unit of
time (usually)
Exponential Functions with Initial
Values
Initial Value,
or initial
population
Rate of
growth or
decay
Some unit of
time (usually)
trPtP 0)(
…Quick Algebra Check!...
223
3
21 4
A bacteria starts with an initial count of 3000
and doubles every hour.
How many bacteria after 3.5 hours?
When will there be 25,000 bacteria?
A bacteria starts with an initial count of 3000.
An antibiotic is introduced, causing half of the
bacteria to die off each hour.
How many bacteria after 3.5 hours?
When will there be 500 bacteria?
Classwork
• Page 220
1 – 6 All
19, 20 – 30 all,
45, 49