30,000,000 * 0.7^t < 100
0.7^t < 1/300,000
t > -log(300,000)/log(0.7)
t > 35.36
With over 30 million rabbits, the bunny farm is getting overcrowded and some of the rabbits are dying from a contagious disease. The rabbits have stopped reproducing, and the disease is reducing the total rabbit population at a rate of about 30% each month. If this continues, then in how many months will the population drop below 100 rabbits? (For t(0), use your number from part b.)
2 answers
100%-30%= 70%, so 70/100= 0.7
0.7 is your multiplier that mean he started at 30,000,000 rabbits which is your initial value. So the equation looks like this. t(n)= 30,000,000*(0.7)^n
t(n)= 30,000,000*(0.7)^36
t(n)= 79.5519253757896 which is estimated by 79.56
Therefore, in the month of 36 is where the population of rabbits will be below 100 rabbits.
0.7 is your multiplier that mean he started at 30,000,000 rabbits which is your initial value. So the equation looks like this. t(n)= 30,000,000*(0.7)^n
t(n)= 30,000,000*(0.7)^36
t(n)= 79.5519253757896 which is estimated by 79.56
Therefore, in the month of 36 is where the population of rabbits will be below 100 rabbits.
6 answers