The equation y=4,060(1−0.05)t represents the decay of a specific species of bird. Select the option below that represents the rate of decay for the species.

Question

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)
Option #
in the correct rate of decay.

Answer 1

The equation you provided is in the form of exponential decay:

\[ y = 4,060(1 - 0.05)^t \]

In this equation, the term \(0.05\) represents the decay factor. To convert this into a percentage, we multiply by 100:

\[ 0.05 \times 100 = 5% \]

Therefore, the correct option that represents the rate of decay for the species is:

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