SOLUTION: A scientist begins an experiment with a petri dish containing a culture of bacteria cells and records the cell growth every hour. At 1 hour, the bacteria had grown to 880 cells, an
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Question 1021133: A scientist begins an experiment with a petri dish containing a culture of bacteria cells and records the cell growth every hour. At 1 hour, the bacteria had grown to 880 cells, and at 2 hours, had grown to 3,520 cells. Which function can be used to represent the relationship between the number of bacteria cells, y, and the time in hours, x?
y = 4 x
y = 220(4) x
y = 880(4) x
y = 880(0.25) x Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website! The choices look strange. Try starting with a general model . Two points are (1,880) and (2,3520). You might instead try a general model in which the rate of growth per hour is r, as a decimal value. This form of the model might be better for the kinds of choices you want to use.
One point gives an equation
and the other point gives .
First one gives , and substituted into the second equation gives
simplifiable as
allowing you to find r.
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Using this in the first equation
Putting these into the model from the general form makes
Simpliable to
Still not the same as any of the choices you have.