Question

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 1

Answer:

exponential function that represents the population of rabbits : $10*3^{\frac{x}{2} }$

number of rabbits after 2 years : $10*3^{12}$

Step-by-step explanation:

• initially there are 10 rabbits. since the will be trippled  every 2 months, i have multiplied it with $3^{\frac{x}{2} }$. 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 months

• now substitute x= 2*12 in the above function.

• number of rabbits after 2 years = $10*3^{\frac{2*12}{2} } = 10*3^{12}$