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6 A population of bacteria is doubling every year. Initially the population has 500 bacteria. (a) Write an equation to model this scenario using the variables y and x. (b) What will the population of bacteria be after 2 years?

Respuesta :

Let the population of bacteria at any time be y, and the time in years to be x

We have a geometric progression with common ratio 2

our general equation would be

[tex]y=500(2)^x[/tex]

b. after 2 years, the bacteria population would be

[tex]y=500(2)^2=2000\text{ bacteria}[/tex]

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