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)
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, \( 0.05 \) represents the decay factor. The term \( (1 - 0.05) \) indicates that the population decreases by 5% each time period \( t \).

So, the correct interpretation of the rate of decay is:

• The decay rate is 5%, which means the population of the species decreases by 5% per time period.

Therefore, the correct option is:

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