The equation y=4,060(1−0.05)^t

Question

represents the decay of a specific species of bird. Select the option below that represents the rate of decay for the species.

Option #1: The rate of decay is 0.05%.

Option #2: The rate of decay is 203.

Option #3: The rate of decay is 5%.

(1 point)

Answer 1

The equation given is \( y = 4,060(1 - 0.05)^t \).

In this equation, the term \( 1 - 0.05 \) indicates that the population is reducing by a factor of \( 0.05 \) (or 5%) each time period \( t \). Specifically, the equation can be interpreted as the population is reduced by 5% of its current value each time period.

Therefore, the correct representation for the rate of decay of the species is:

Option #3: The rate of decay is 5%.