Question

Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to data collected by World Wildlife Fund Mexico, monarch butterflies occupied 1.13 hectares one recent winter, and 4.01 hectares the following winter (one year later)1. If the population is growing geometrically and grows at the same rate, how much area should the overwintering butterflies occupy one year after that

Answer 1

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico, monarch butterflies occupied 1.13 hectares one recent winter, and 4.01 hectares the following winter (one year later)

The formula of Geometric growth

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = times = 1

=( 4.01/1.13 )^1/1

= 3.5486725664

Hence, Geometric growth rate = 3.5486725664.

It's size in hectares after another 1 year = Current size in hectares × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

≈ 14.2