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SAT Math 2.3 Algebra and Functions. Calculate this function.
SAT Math: Comparing Bird Population Growth through Exponent Properties 3 Views
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Description:
Ecologists are comparing the populations of two different species of birds. The population of the flightless Shmoople can be modeled by the equation yS = (p)(3R – 10)t, while the equation for the Beefabird population is yB = (p)(2R + 2)t. In each equation, p represents the initial population size, t, represents the number of years, and R represents environmental factors that influence population growth. If both species have the same initial population size, p, which of the following represents how many times greater the population of flightless Shmooples is compared to that of Beefabirds after t years?
Transcript
- 00:00
Yeah Whoa Okay Match members Another one coming at You
- 00:05
hear ecologists are comparing the populations of two different species
- 00:10
of birds Yes it's a fowl Questions the population of
- 00:13
the flightless shmoop yl kan be modelled by the equation
- 00:17
Read here this thing into the three Armond While the
Full Transcript
- 00:20
equation for the beef a bird population is on one
- 00:24
of the vehicles are this thing here in each equation
- 00:27
P represents the initial population Size t represents the number
- 00:31
of years involved in question here and our capital R
- 00:34
represent environmental factors that influence population growth If both species
- 00:39
have the same initial population size pee in which of
- 00:42
the following represents how many times greater the population of
- 00:45
flightless shmoop als is compared to that of beef a
- 00:47
bird's After two years birds of a feather flock together
- 00:53
right But it seems like these two species don't So
- 00:57
just what is the question asking While that last sentence
- 01:00
is quite a mouthful it's asking how many times greater
- 01:05
the flightless shmoop ALS population is than that of the
- 01:08
beef of birds right there Magnitudes different So don't let
- 01:11
the word time's fool you were multiplying here when you
- 01:14
move like while we just get a looks like that
- 01:17
So what We don't want that All right Think of
- 01:19
the whole question like this If there were fifteen shmoop
- 01:21
als and five beef a bird's well then there would
- 01:23
be three times as many shmoop ALS as beef of
- 01:26
birds So we have to divide and multiply the teas
- 01:28
through the exponents And you get this equation Peter the
- 01:31
3 are gonna send tea and then nominator repeated The
- 01:33
two are plus two feet right Well it might look
- 01:36
like we're done but remember that peas are the same
- 01:39
so we can simplify this expression even further by recalling
- 01:41
the exponents property that had to be over Agency is
- 01:45
the same as a B minus C So let's just
- 01:48
go do some C minus ing And that's what you
- 01:51
get Peter the 3 Artie my affinity minus Who are
- 01:54
you Duty And it just gets U P E R
- 01:56
T minus twelve T and it's just answered B That's
- 01:59
it Unfortunately not all problems can be done And so
- 02:02
few steps Also unfortunate The severe lack of flightless shmoop 00:02:06.178 --> [endTime] Plus she's in the world that way
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