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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
Full Transcript
- 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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