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SAT Math: Recognizing the Significance of an Exponent in a Word Problem 0 Views


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Description:

What does the exponent suggest?


Transcript

00:00

Yeah Whoa Okay S eighty shmoop for's Got another problem

00:06

coming at you with this equation equals X times Quantity

00:09

one plus Why does he over three And we're gonna

00:11

play to this word problem What does the exponents suggests

00:19

Well here's the thing We know that Z has to

00:21

be in units of years since the problems said the

00:25

rate of growth is annual and the whole exponents tells

00:28

us how many times we apply the rate of growth

00:31

Why to the starting value like experiments are all about

00:34

the times you compound something So if you see a

00:37

financial investment it's one plus point Oh eight minutes going

00:41

to grow at eight percent a year you're going to

00:43

see it written like that one plus point Oh wait

00:45

to whatever power like the seventh power means going compound

00:48

for seven years at eight percent and be whatever it

00:50

is at the end So in this case looking at

00:52

are jumbled arrangement of terms The fractions E over three

00:56

means that each year the population grows by one third

00:59

of the growth rate So actually it is A In

01:02

a short three years the population will grow by a

01:05

nice even Why on Hey we know that the growth

01:08

rate is two percent so you know that's why it's

01:11

gotta be a there right So if it really did

01:13

take one third of the year for the population to

01:15

grow wealthy exponents would be three Z Then he's gonna

01:19

work for B there This is the same as population

01:21

growing by two percent three times a year So get

01:24

rid of D An annual growth by two thirds of

01:27

a percent would require whitey equal point zero zero six

01:31

six seven in an exponents of just see So it

01:34

ain't any of those It's a It takes three years

01:36

for the population to grow by two percent It sounds 00:01:39.59 --> [endTime] like a really sleepy town

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