Question

Help with a word problem please :c

Answer 1

It is theorized that a particular culture of bacteria increases according to the model P(t) = 75e^0.054t, where t is time in minutes and P represents the amount of the population of bacterial cells after t minutes. According to this model, what is the initial bacteria population? After 15 minutes, what will be the population of this bacteria culture? Round your answer to the nearest thousandth.

Answer 2

so would you have to put 15 in for t?

Answer 3

yes

Answer 4

and plug in 0 for t to find the initial population

Answer 5

wait which t >< does it go P(0)=75e^0.054(15)

Answer 6

P(15)=75e^0.054(15)
and
P(0)= 75e^0.054(0)

Answer 7

P(0) means you are plugging 0 in for t in the equation

Answer 8

and P(15) means you are plugging in 15 for t in the equation

Answer 9

Oks

Answer 10

one moment then

Answer 11

so P(0)=75e^0

Answer 12

yup

Answer 13

so P(0)=75

Answer 14

which can be simplified to 75

Answer 15

yes, all correct so far

Answer 16

So the initial bacteria is 75?

Answer 17

yup :)

Answer 18

woop

Answer 19

P(15)=75e^0.054(15)

P(15)=75e^.81

Answer 20

P(15)=75(2.25)

Answer 21

168.75

Answer 22

approximately that is

Answer 23

i think that's right

Answer 24

i got 168.59

Answer 25

i used this for for e 2.718 i just took the first 3 numbers

Answer 26

that's good enough

Answer 27

i was using a calculator, didn't realize you were doing it manually

Answer 28

aha xD

Answer 29

thank you :D

Answer 30

good job anyways

Answer 31

no problem :)

Answer 32

take my fan :D