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A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants
after m months and develops the equation P(m) – 19.3(1.089)" to model the situation. Most recently, the scientist
counted 138 plants. Assuming there are no limiting factors to the growth of the plants, about how many months have
passed since the plants were first introduced?
6.1
O 6.6
O 7.2
O 23.1

Respuesta :

raphealnwobi

It would take about 23.1 months for the plant population to be 138 plants.

Exponential Function

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Given:

[tex]P(m)=19.3(1.089)^m[/tex]

Where P is the plant population after m months.

For a population of 138 plants:

[tex]138=19.3(1.089)^m\\\\m*ln(1..089)=ln(7.15)\\\\m=23.1[/tex]

It would take about 23.1 months for the plant population to be 138 plants.

Find out more on Exponential Function at: https://brainly.com/question/12940982

Answer:

23.1

Step-by-step explanation:

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