Question

Another step-by-step PLEASE!!! This time it's a word problem:

A colony of bacteria is growing exponentially according to the function B(t)= 48e0.8t where t is in hours. How many bacteria are there after 8 hours?

Answer 1

just substitute 8 for t...and you'd be good to go!

Answer 2

Jenn.. t is number of hours.. so plug in t=8 in the equation and solve..

Answer 3

B(t)=4*e^0.8t I get confused with the exponent and the t being on BOTH sides of the equal sign. can you please walk me through it?

Answer 4

ahh.. the first t is a notation.. Like b(t) = b(9)

Answer 5

so it's kind of like the F(x) where it means Function?

Answer 6

B(8) = 48 e ^ (0.8*8) = 48 e^(6.4) Now you are good to go...

Answer 7

Yes exactly.. instead of f(x) it is b(t)

Answer 8

if that's the case, then I need to plug in 8...let me work it out, and explain it back to you. please correct my thinking as I go

Answer 9

Sure..

Answer 10

e^6.4 = 601.8450379

then I multiply it by 4? to get
2407.380151

yes? comments?

Answer 11

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Answer 12

Is it not 48?

Answer 13

just need to know if I got it right at this time please!

Answer 14

It's 4

Answer 15

Then.. you are right!! your answer is perfect...

Answer 16

excellent! Thanks!

Answer 17

But you cannot say number of bacterias in decimal, so round it off to the nearest integer