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

Algebra.Com
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.
-




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.

RELATED QUESTIONS

A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the... (answered by ankor@dixie-net.com)
Dave is doing an experiment with a type of bacteria that he assumes divides exactly every (answered by solver91311)
A scientist places 50 cells in a petri dish. Every hour, the population increases by... (answered by addingup)
The number B of bacteria in a Petri dish culture after t hours is given by... (answered by nerdybill)
The cells in a culture of bacteria conform to uninhibited growth. Suppose there are 3,000 (answered by josgarithmetic)
To begin a bacteria study, a petri dish had 1900 bacteria cells. Each hour since, the (answered by ankor@dixie-net.com)
A scientist is observing a population of bacteria contained in a petri dish. The petri... (answered by josgarithmetic)
A scientist runs an experiment involving a culture of bacteria. She notices that the mass (answered by ikleyn)
A bacteria culture grows with constant relative growth rate .the bacteria count was 200... (answered by CPhill)