ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


PSAT Math Videos 44 videos

Secret Ingredients
391 Views

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 1.9 Math Diagnostic
197 Views

PSAT 1.9 Math Diagnostic. What is the maximum size widescreen TV Abby can purchase?

PSAT 1.36 Math Diagnostic
170 Views

PSAT 1.36 Math Diagnostic. If f represents the cost of his food, which of the following represents Jasper's order?

See All

PSAT 1.17 Math Diagnostic 180 Views


Share It!


Description:

PSAT 1.17 Math Diagnostic. Which of the following functions models the number of E. coli bacteria at time h?


Transcript

00:00

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

00:05

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

00:08

coli you never go back here yet All right so

00:14

check out this info time sudden memory for people down

00:20

All right we get it Which of the following functions

00:23

models the number of e coli bacteria at time age

00:27

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

00:30

started And here essential answers All right the functions of

00:35

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

00:37

you want to leave e coli bacteria on the lab

00:39

table But police be sure the labeling last thing you

00:42

ever want to have happen is for some unsuspecting fellow

00:45

scientist to see the dish and mistaken for his chobani

00:48

blended plum yogurt All right well he might be spending

00:51

the next three or four hours in the emergency shower

00:53

Okay so were given a pretty simple looking table and

00:57

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

00:59

written function that represents the number of e coli bacteria

01:02

in relation to age the number of hours Well let

01:06

zero hours there in just fifteen bacteria in a petri

01:09

dish with scientists started out with every hour after that

01:13

it looks like they doubled So should be just about

01:16

four five days until they take over The world ok

01:20

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

01:22

growing limbs and learn how to open and close the

01:24

door when we should be fine the good news is

01:27

that because the reign of growth is constant from one

01:30

hour to the next way no that the relationship is

01:33

exponential which means we can use this formula Why equals

01:38

eight times the quantity One plus our to the x

01:41

power well has always pays the initial amount in this

01:44

case teen bacteria our is the growth rate one hour

01:49

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

01:53

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

01:56

acts within age unless your friends are something in spell

02:00

ours with an x in which case well you just

02:03

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

02:05

why of the f of age to make it more

02:08

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

02:11

g wells fifteen times two to the h power which

02:14

is option c if you want to double check to

02:17

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

02:19

look in any number from the time And we should

02:21

get the corresponding data in the table For example we

02:24

could plug in three thousand four hundred twenty seven hours

02:26

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

02:28

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

02:31

power is who four eight sixteen thirty two times fifteen

02:36

which is four hundred eighty century enough consulting our table

02:40

After five hours there should be four hundred eighty bacteria

02:42

in the petri dish Option c It is all right

02:45

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

02:50

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

Related Videos

Secret Ingredients
391 Views

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 Reading Diagnostic
1006 Views

PSAT 1.1 Reading Diagnostic. The main purpose of the first two paragraphs is to...what?

PSAT 2.2 Reading Diagnostic
379 Views

PSAT 2.2 Reading Diagnostic. What is the main rhetorical effect of this phrase in the second paragraph?

PSAT 1.3 Writing Diagnostic
282 Views

PSAT 1.3 Writing Diagnostic. To make the paragraph most logical, sentence 2 in the second paragraph should be placed...where?

PSAT 1.4 Writing Diagnostic
239 Views

PSAT 1.4 Writing Diagnostic. Which choice most effectively combines the two sentences in the underlined portion?