cecora91
Answered

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a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increased to 80. if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119?

Sagot :

jayilych4real

The time it would take for the bacteria to reach 1119 is 5.83 hours

Calculations and Parameters:

Given the function:

[tex]Pt= P_0e^k^t[/tex]

  • Initial amount= 50
  • amount after 3 hours= 80

To find the exponential growth;

80 = [tex]50e^k^*^3[/tex]

[tex]k= 1.6/3\\k= 0.533[/tex]

If there is a constant growth, then to get to 1119:

1119= [tex]50e^0^.^5^3^3^*t[/tex]

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

Read more about exponential growth here:

https://brainly.com/question/2456547

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