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A scientist is studying wildlife. She estimates the population of bats in her state to be 326,000. She predicts the population to grow at an average annual rate of 1.4%. Using the scientist’s prediction, create an equation that models the population of bats, y, after x years.

A Scientist Is Studying Wildlife She Estimates The Population Of Bats In Her State To Be 326000 She Predicts The Population To Grow At An Average Annual Rate Of class=

Sagot :

The equation that models the population of bats is 326,000 x (1.014)^X = Y, so the correct answer is A.

Equations

Given that a scientist is studying wildlife, and she estimates the population of bats in her state to be 326,000, and she predicts the population to grow at an average annual rate of 1.4%, to create an equation that models the population of bats, Y , after X years, the following calculation must be made:

  • 326,000 x (1+ 1.4/100)^X = Y
  • 326,000 x (1 + 0.014)^X = Y
  • 326,000 x (1.014)^X = Y

Thus, in 3 years, the equation would operate as follows:

  • 326,000 x 1.014^3 = Y
  • 326,000 x 1.0425 = Y
  • 339,884.58 = Y

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