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During a study to understand the population growth of a certain bacterial culture, you plot the data and identify a quadratic growth trend over time.Which transformation should you apply to linearize the data?Add a constantCubeSquare rootSquare

Question

During a study to understand the population growth of a certain bacterial culture, you plot the data and identify a quadratic growth trend over time.Which transformation should you apply to linearize the data?Add a constantCubeSquare rootSquare

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Solution

To linearize the data that shows a quadratic growth trend, you should apply the square root transformation. This is because the square root function is the inverse of the quadratic function, which can help to straighten out the data.

Similar Questions

A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:5 minutes: 78,00010 minutes: 234,00015 minutes: 657,00020 minutes: 1,784,00025 minutes: 5,040,00030 minutes: 14,980,000Which type of graph would be best to use to display the growth of the colony?a bar grapha circle grapha histograma line graph

Use WolframAlpha to solve the quadratic growth model, using either or both forms of parameterization:

nstructions: Determine whether the following situation can be modeled by a linear or exponential relationship, and use the model to answer the question.If the number of bacteria in a colony triples every 60 minutes and the population is currently 3,000 bacteria, what will the population be in 240 minutes? Is the growth modeled by a linear function or an exponential function?The population will be Answer 1 Question 12 and it is modeled by a Answer 2 Question 12

Amma studies bacteria growth in a lab. She has observed a rise in the bacteria count over ten hours. Each hour there are 5% more bacteria. Amma would like to predict the count of bacteria in 6 hours from now.Which type of trendline would be the best choice to model the relationship between hours and bacteria count?Group of answer choicesExponentialThere will not be a predictable relationship between the two variables.QuadraticLinear

If the number of bacteria in a colony triples every 60 minutes and the population is currently 2,000 bacteria, what will the population be in 240 minutes? Is the growth modeled by a linear function or an exponential function?

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