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Instructions and help about graphing a bacterial population growth curve

so in this problem we're told that a bacteria culture initially contains 100 cells and grows at a rate proportional to its size after an hour the population has increased to 540. and we're asked to find a bunch of things we're asked to find the expression for the number of bacteria after t hours and the number of bacteria after two hours find the rate of growth after two hours and then um find when the population will reach ten thousand so in order to solve for the first part there's a formula that you have to know you have to know that y is equal to y sub zero times e raised to the k times t and so what we're going to do is use this as the basis of this formula for the basis to solve this problem and we're going to plug in our values into it so what is y y is going to be our new number so what the population has increased to which is in this case is 540. so we're going to start off with 540 is equal to y sub zero so what'

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