Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to represent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research.What is this function written in vertex form?

The function that represent the growth rate of the population where y represents the population and x represents the numbers of weeks since Sabrina began her research is [tex]y=3.8^{x}[/tex] (for ant colony) [tex]y=3.8x[/tex] (for bee hive growth)

What is function?

"A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

What is research?

"Research is creative and systematic work undertaken to increase the stock of knowledge."

What is growth rate?

"The growth rate of change of population size, for a given country, territory, or geographic area, during a specified period."

As we know that we have to check the growth of the population. According to the given data, the rate of growth for ant colony is [tex]y=3.8^{x}[/tex] and also the growth rate of bee hive is [tex]y=3.8x[/tex]

Hence, the growth rate of ant colony is [tex]y=3.8^{x}[/tex] and the growth rate of bee hive is [tex]y=3.8x[/tex]

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