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A research study in the year 2000 found that there were 440 coyotes in a given region. The coyote population is expected to grow at of 17 percent each year. What is the coyote population in 2006? Round the answer to the nearest whole number.

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cathy280940

Answer:

1129 coyotes

Step-by-step explanation:

Use the equation [tex]f(x) = abx^{x}[/tex]

let f(x) be the coyote population (unknown)

let "a" represent the initial number of coyotes (440)

let "b" represent the rate in which the coyote population is expected to grow

  • since the population is increasing, add the rate to 1. (1 + 0.17 = 1.17)

let "x" represent the time that has passed since 2002 (6)

plug it all into the equation:

[tex]f(x) = 440(1.17)^{6}[/tex]

[tex]f(x) = 1128.67[/tex]

[tex]f(x) = 1129[/tex]

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