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Thank you We sneak And here's your shmoop du jour

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brought to you by e coli Once you've gone e

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coli you never go back here yet All right so

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check out this info time sudden memory for people down

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All right we get it Which of the following functions

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models the number of e coli bacteria at time age

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where h represents the number of hours since the experiment's

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started And here essential answers All right the functions of

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ours All right well first of all it's fine If

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you want to leave e coli bacteria on the lab

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table But police be sure the labeling last thing you

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ever want to have happen is for some unsuspecting fellow

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scientist to see the dish and mistaken for his chobani

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blended plum yogurt All right well he might be spending

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the next three or four hours in the emergency shower

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Okay so were given a pretty simple looking table and

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we're supposed to use the shadow there to assemble a

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written function that represents the number of e coli bacteria

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in relation to age the number of hours Well let

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zero hours there in just fifteen bacteria in a petri

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dish with scientists started out with every hour after that

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it looks like they doubled So should be just about

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four five days until they take over The world ok

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well maybe we're being alarmist here but until they start

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growing limbs and learn how to open and close the

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door when we should be fine the good news is

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that because the reign of growth is constant from one

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hour to the next way no that the relationship is

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exponential which means we can use this formula Why equals

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eight times the quantity One plus our to the x

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power well has always pays the initial amount in this

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case teen bacteria our is the growth rate one hour

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and x is the number of compounding period since we're

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using ours is our com pounding period let's replace the

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acts within age unless your friends are something in spell

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ours with an x in which case well you just

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keep it as is we'll also want to replace the

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why of the f of age to make it more

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you know function and we're left with f of h

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g wells fifteen times two to the h power which

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is option c if you want to double check to

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make sure we set this thing up right We can't

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look in any number from the time And we should

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get the corresponding data in the table For example we

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could plug in three thousand four hundred twenty seven hours

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but we really don't want to be here all day

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so instead we'll plug in five to two The fifth

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power is who four eight sixteen thirty two times fifteen

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which is four hundred eighty century enough consulting our table

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After five hours there should be four hundred eighty bacteria

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in the petri dish Option c It is all right

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We've had enough of incredible multiplying bacteria If we wanted

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to see something multiplied this fast we watched that new 00:02:53.24 --> [endTime] show on tlc thirty seven isn't enough

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