-otrce

the

equation

is

forrred,

you

can

predict

values

for

either

variable

ifthe

other

variable

is

known.

Show

wiifi

O

=

f

j,O-OO

-

Zt

(popular

form

for

linear

depreciation)

B+IPs."o"f*e-b-a-ttse

-The

slope

of

a linearfunctior

represents

the

rate

of

change

ofy

with

respectto

1

at

{Y

point.

Notice

that

this

i"t. of ot

unge

is constant

no

matter

where

you &re

on

the

linq since

the slope

of a

linear

firnction

is

constant'

-For

distance-time

fuoctions

(S

=

f(tD,

this

bas

a special

meaning'

The

slope

to

this

qme

of

functioq

As/At

measures

the

ohange

in

distance

overthe

ohange

intime'

This

gives

us

speed.

Called

vetocity,

if

it is

directed-

*Forpglqligqg{'firrcti9-ng,theslopebetweeutwopointsonthecurvemeasiuresA-ySrggq

rate

qf

change

between

these

points.

This

eguals

itt"

t'Aut

of

the

stope

of

the

Secantline

connestiry

these

points. See

diasam

below'

f-

-

m:AyfAx-measures@-

-

betweenPr

&

Pz

this

is

the

stope

of

the

secant

line

betweeu

Pr &

Pz.

-So,

for

non-linear

distance-time

functions,

the slope

of

tl:

secant

line

betrreen

two

points on

the ourve

,"**tt

Averyge

velocity

of

a

particle

moving

along

the

curve

-Percentaee

Rate

of Chanee:

Slooe at a

point

y-value

at that

poirt