Q&A> Comparing Linear and Exponential Functions _ Using Functions in Models and Decision Making: Reg

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discuss

Student

Functions

in Models

Nonlinear

Functions

V.A Student

Activity

Coen

sells magazine

each

subscription

Sheet

and

subscriptions.

he

Decision

2: Comparing

sells. The

He

table

Making:

Linear

is paid

shows

and

$20

the

due

1/14

Date

Class

Using

ion

Regression

Exponential

to start

amount

in Linear

and

T1

Functions

selling

and

of money

(M)

then

earns

Coen

$1 .50

earns

for

for selling

n subscriptions A n

$20.00

0

$21.50

$23.00

2

$24.50

3

$26.00

4

1. In previous

work,

you

earns

as

a function

range

of this situation

wrote

of the

a linear

number

function

of

rule

subscriptions

describing he

the

sells. What

amount

of money

do

domain

the

Coen and TI

Domouin

represent?

represent

VO 2.

lank blanksI

Fill in the

For each domain

table, and

Be below make

changes

to find

the

a statement

differences

between

summarizing

the relationship

the

given

entries

between

in the

table

changes

in the

in the range CD A

$20.00

0

$21.50 C

$23.00

2

$24.50

3

$26.00

4

M n

$20.00

0

$21.50 $21.50

1

3.00 .o

$23.00

G)

2

$24.50

3

$26.00

4

(D

Charles

A. Dana

Center

at

The

Unfversity

of Texas

Advanced

at Austin

Mathematical

Decision Activity

Making

Sheet

4

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2,

(2010) 2 pages

Date Class

Student

Regression

Using

Functions

in Models

Nonlinear

Functions

V.A

Activity

3.

Student

Sheet

and

Decision

2: Companing

Linear

and

Exponential

so that

for every

Suppose

Coen

's earning

structure

made

1..5 times

his previous

earnings.

Again,

Make

showing

Coen

for O subscriptions

sold.

a

changed

table

and

Making

sold,

he

in Linear

Functions

magazine

assume

that

subscription he

starts

he

with

$20

's earnings

AM

00

$20

0

$

$45

2

$750

3

4 @

4. In Question in the

2, you

analyzed

Now

range

changes

analyze

in

the new

the

data

domain

set you

values

found

and

in

their

Question

impact

3. Do

on

the

values

data

show

these

J

the same

kind of

Describe

domain

the

are

2 to each

relationship

&t

effect

on values

changed

domain

REFLECTION:

value?

Adding

Describe

functions

based

function

different

in the

incrementally

on a

range

by

than

at

the

for this

adding

5? Explain

a fundamental

look

as in the linear relationship

tables

rate

new

set of data

when

1. Is this relationship

your

values

the same

2? in the

when

adding

answers

difference of values.

in Question

between

How

is the

linear and

exponential

rate

of change

of a linear

of chang ge of an exs ponential

function?

Linear

te isWhen

i

same 6.

EXTENSION:

Descril be two

applications, additional

and "add

at least two

provide

at least two

-multiply'

relationships

representations

of the

per

same

"add-add

representations that

m

relationships

exist

relationships.

of the

RS ti nat

exist

in r eal-world

relationships,

Describe

in real --world

applications,

and

Be prepared

to share

examples

your

most

prdu F

with the class. Buying

O

by te

add; tional

FOY

item

per

LX

two

provide

basd

is

ample

puunds

ound X

lbs'

x

Ave

waogs Charles

A. Dana

Center

at

The

University

of

earned,

Texas

at

munte toxes Advanced

Austin

ave taken Mathematical

Decision sVity

dors

nut

Show is

no+

Preporhona,

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Making

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(2010)

2, 2 pages