Question

the exponential function g(t)=500(1-3^-t) describes how long it takes for a population of 500 catfish to migrate from a holding pond to a new pond. What is the meaning of g(0)? what are the restraints on the types of numbers used for g(t)? describe how the graph of the function changes with time.

Answer 1

Evaulate
at t=0

g(0)=500(1-3^0)
g(0)=500(1-1)
g(0)=500(0)
g(0)=0
g(0) desctibes how many fish are in the new pond

restraints is you can only use whole numbers

the graph increases rapidly then plateus (rate of change of the rate of change slows)