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Algebra and Functions Videos 140 videos

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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

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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