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Which bacteria sample (A or B) had a smaller initial population? What was that value?

Sagot :

MrRoyalidn

Answer:

B has a smaller initial population of 500

Step-by-step explanation:

Given

See attachment for complete question

Required

The bacteria with the smaller initial population

The initial population is at x = 0

For bacteria A;

[tex]A(x) = 600[/tex] when [tex]x = 0[/tex]

For bacteria B, we have:

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

Substitute 0 for x

[tex]B(x) = 500(2)^0[/tex]

[tex]B(x) = 500*1[/tex]

[tex]B(x) = 500[/tex]

So; when x = 0

[tex]A(x) = 600[/tex] and [tex]B(x) = 500[/tex]

Because; 500 < 600

We can conclude that B has a smaller initial population of 500

View image MrRoyal
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