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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x years?

f(x) = 1,200(1.03)x
f(x) = 1,200(0.03)x
f(x) = 1,200(0.97)x
f(x) = 1,200(0.97)x

Respuesta :

Answer:

f(x) = 1,200 * (0.97)ˣ

Step-by-step explanation:

MrRoyal

The population of the frogs in x years is (c) [tex]f(x) = 1200(0.97)^x[/tex]

The initial population of the frogs is given as:

[tex]a =1200[/tex]

The decay rate is given as:

[tex]r = 3\%[/tex]

An exponential function that for decay is represented as:

[tex]f(x) = a(1 - r)^x[/tex]

Substitute values for (a) and r

[tex]f(x) = 1200(1 - 3\%)^x[/tex]

Express percentage as decimal

[tex]f(x) = 1200(1 - 0.03)^x[/tex]

Add 1 and 0.03

[tex]f(x) = 1200(0.97)^x[/tex]

Hence, the population of the frogs in x years is (c) [tex]f(x) = 1200(0.97)^x[/tex]

Read more about exponential population function at:

https://brainly.com/question/20115298

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