Natasha is observing the growth of a population of bacteria. She started out with 250 bacteria cells. The population of bacteria quadruples every hour.

Use x to represent the number of hours and y to represent the population of the bacteria.
Write an equation to represent the situation.

Respuesta :

 I think it is y=250(4^x)

The equation that represents this situation is:

y = 250(4)ˣ

An exponential growth is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of the bacteria after x hours.

Given that she started with 250 bacteria cells, hence a = 250. The population of bacteria quadruples every hour, hence b = 4,

The equation becomes:

y = 250(4)ˣ

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