suppose a rabbit population of 10 rabbits trippled every 2 months. write an exponential function that represents the population of rabbits and define the variable x. How many rabbits will exist after two years

Answer:exponential function that represents the population of rabbits : [tex]10*3^{\frac{x}{2} }[/tex]number of rabbits after 2 years : [tex]10*3^{12}[/tex]Step-by-step explanation:initially there are 10 rabbits. since the will be trippled  every 2 months, i have multiplied it with [tex]3^{\frac{x}{2} }[/tex]. I have divided x by 2 because, here x represents number of months and it will be trippled only AFTER EVERY 2 MONTHS.variable x: it represents number of months.two years= 2*12 monthsnow substitute x= 2*12 in the above function.number of rabbits after 2 years = [tex]10*3^{\frac{2*12}{2} }  = 10*3^{12}[/tex]