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PSAT 1.3 Math Narrative Walkthrough. How many full packages of secret ingredient does the company have to buy to make one 50-gallon batch?
PSAT 1.1 Math Narrative Walkthrough. In how many hours will James and Steve meet?
PSAT 1.2 Math Narrative Walkthrough. Which graph represents the equation?
PSAT 1.18 Math Diagnostic 181 Views
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PSAT 1.18 Math Diagnostic. Which of the following graphs models the population growth rate of Salmonella in the petri dish?
More Video DetailsTranscript
- 00:00
Thank you We sneak and here's your shmoop du jour
- 00:05
brought to you by salmonella bacteria that swims up your
- 00:09
bloodstream All right check out info right here E coli
- 00:15
Stick to the table All right scientists repeats the experiment
- 00:18
Using salmonella bacteria The number of salmonella increases by seventy
Full Transcript
- 00:22
five percent each hour If there are ten salmonella at
- 00:26
times zero which of the following graphs models the population
- 00:30
growth reign of salmonella in the petri dish And here
- 00:33
the potential answer all right with sound effects No Right
- 00:40
those each breath We sure hope these people are wearing
- 00:43
masks or has mad suit's or something like that E
- 00:46
coli salmonella We haven't seen anyone so surrounded by bacteria
- 00:49
since the last time we visited a public swimming pool
- 00:52
Okay so basically they're changing it up on us a
- 00:55
bit Instead of the experiment described in this paragraph here
- 00:59
they're using a different bacteria that multiplies at a different
- 01:02
rate with the equal live The amount of bacteria in
- 01:05
the petri dish doubled every hour In other words it
- 01:08
multiplied by one hundred percent at every interval But the
- 01:11
salmonella is a slow worker at least by comparison It
- 01:15
only multiplies by seventy five percent of each interval Well
- 01:18
let's start with what we know at times zero iii
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when the experiment is started there are ten lonely salmonella
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bacteria so we should make zero ten appoint on our
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graph And guess what One of our answer choice is
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already out of the running After one hour there will
- 01:34
be seventy five percent more salmonella while seventy five percent
- 01:38
of ten is seven point five if we're not sure
- 01:40
how to get there by the way you can simply
- 01:42
multiply ten by point seven Five decimal version of seventy
- 01:46
five percent So on average there will be seven point
- 01:49
five mohr salmonella bacteria after that first hour or seventeen
- 01:53
point five total Well this is an average keep in
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mind so we're probably not going to see half a
- 01:58
salmonella looking around here So let's assume that point five
- 02:02
bacteria is a whole one and rounded up to eighteen
- 02:05
Then we should see another point at one eighteenth Right
- 02:09
radio And there isn't such a point in graft b
- 02:12
so that one can go out the window What about
- 02:15
an hour after that We'll go back to our seventeen
- 02:17
point five that we had after one hour No need
- 02:19
around just yet And multiply that by seventy five percent
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of point Seven Five to get thirteen point one two
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Five Adding that thirteen point one to five to the
- 02:26
seventeen point five from the first hour we get thirty
- 02:29
point six to five and now we can round up
- 02:31
thirty one There should be another point on our graphic
- 02:34
to thirty one Well it looks like both cnd have
- 02:37
got a point in the general vicinity so we'll have
- 02:39
to plot one more to find our answer Well after
- 02:42
three hours there should be roughly fifty for salmonella and
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this is how we get there Thirty point Sixty five
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point seven five twenty two point nine six eight seven
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five ad that's who are thirty point sixty five and
- 02:53
we get fifty three point five nine three seven five
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which we round two fifty four Well graph C is
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way off at point three Eighty no serene on even
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close The graf de and knows what's up here's a
- 03:05
point at three fifty four and we have a winner
- 03:08
Salmonella dinar muchas you could be a winner when your
- 03:10
lab is overrun by a strain of bacteria that can 00:03:12.89 --> [endTime] cause typhoid fever No
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