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 a rate of 17% each year. What is the coyote population in 2006? Round the answer to the nearest whole number. Enter your answer in the box.

Answer 1

Answer

Find out the  what is the coyote population in 2006 .

To prove

As given

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 a rate of 17% each year.

Thus the increasing exponential function is denoted by.

$y = a(1 +\ r)^{t}$

Where a is the intial population .

            r is in the decimal form.

             t is the time.

Here

a = 440

$r = \frac{17}{100}$

r = 0.17

t = 6 years (From 2000 to 2006)

Put all the values in the formula

$y = 440\times(1 + 0.17)^{6}$

$y = 440\times (1.17)^{6}$

y = 440 × 2.56516

y = 1128.67

Thus

y = 1129 (Rounded to nearest whole number)

Therefore the  coyote population in 2006 is 1129.