Question

question 1 (1 point)the equation $p = 5,000 \bullet 2^t$ represents the population of an invasive fish species in a large lake, years since 2005, when the fish population in the lake was first surveyed.true or false. this is an example of exponential decay.○ true○ falsequestion 2 (1 point)what does it mean when t=0?○ a t=0 means that there are no fish in the pond.○ b t=0 means that the growth rate is 0.○ c t= 0 means the time is the year 2005.○ d t=0 means that the starting year is 2000.

Explanation:

Step1: Analyze Question 1 equation

The given model is $p = 5000 \cdot 2^t$. Exponential decay has a base between 0 and 1; here base = 2 (>1), so it is exponential growth, not decay.

Step2: Analyze Question 2 t=0 meaning

t is defined as years since 2005, so t=0 corresponds to the starting year of the survey, 2005.

Answer:

1. False
2. c t= 0 means the time is the year 2005.