Question

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.

Answer 1

1129 coyotes

Explanation:

Use the equation
`f(x) = abx^(x)`

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:

`f(x) = 440(1.17)^(6)`

`f(x) = 1128.67`

`f(x) = 1129`