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.
- now 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]
