Question

1. the population of bison in canada was found to have a growth rate of 20%. if the population of a particular herd was 265 in 2014, what is the population projected to be in 2024?

options:
1,702 bison
1,785 bison
1,641 bison
1,673 bison

Explanation:

Step1: Define growth formula

Use exponential growth: $P(t) = P_0(1+r)^t$
Where $P_0=265$, $r=0.20$, $t=2024-2014=10$

Step2: Substitute values

$P(10) = 265\times(1+0.20)^{10}$

Step3: Calculate $(1.2)^{10}$

$(1.2)^{10} \approx 6.1917364224$

Step4: Compute final population

$P(10) = 265\times6.1917364224 \approx 1640.81$

Answer:

1,641 bison