Question

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

Explanation:

Step1: Analyze exponential growth form

The general exponential model is $p = p_0 \cdot r^t$, where $r>1$ means growth, $01$.

Step2: Evaluate Question 1 statement

The equation shows exponential growth, not decay, so the statement is false.

Step3: Interpret t=0 context

$t$ is years since 2005, so $t=0$ is the starting year 2005.

Answer:

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