Q:

which equation represents a population of 250 animals that decreases at an annual rate of 12%​

Accepted Solution

A:
Answer:The equation is equal to[tex]y=250(0.88^{x})[/tex]Step-by-step explanation:we know thatIn this problem we have a exponential function of the form[tex]y=a(b^{x})[/tex]wherex -----> the time in yearsy ----> the population of animalsa is the initial valueb is the baser is the rate of decreasingb=(1-r) ----> because is a decrease ratewe have[tex]a=250\ animals[/tex][tex]r=12\%=12/100=0.12[/tex][tex]b=(1-0.12)=0.88[/tex]substitute[tex]y=250(0.88^{x})[/tex]