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dietrich_harmon

  • 2 years ago

A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 • 3x models the number of bacteria after x hours. Graph the function. (You do not need to submit the graph). Use the graph to estimate when there will be about 550 bacteria in the culture.

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  1. dietrich_harmon
    • 2 years ago
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    hello?

  2. ktnguyen
    • 2 years ago
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    About 2hrs and 20mins

  3. dietrich_harmon
    • 2 years ago
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    can u explain in a other way

  4. dietrich_harmon
    • 2 years ago
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    @ktnguyen

  5. satellite73
    • 2 years ago
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    the function should be \(A(x)=35\times 3^x\)

  6. satellite73
    • 2 years ago
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    solve the equation \[550=35\times 3^x\] by first dividing by 35 to get \[\frac{110}{7}=3^x\] then change of base to get \[x=\frac{\ln(\frac{110}{7})}{\ln(3)}\]

  7. satellite73
    • 2 years ago
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    i get about 2.5 so two and a half hours if you have not discussed logarithms yet, take out a calculator and try \(35\times 3^x\) with various values for \(x\) when you get to \(x=2.5\) you will see the result is about 550

  8. dietrich_harmon
    • 2 years ago
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    thank u thank u

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