After one year, to cope with the rabbit problem, some foxes were brought to the island. As a result, the population of rabbits started declining by 10% each week. After the foxes had been brought in, how many rabbits were left afteri 1 week? 0.9 rabbitsii 2 weeks? rabbitsiii 10 weeks? rabbits
Question
After one year, to cope with the rabbit problem, some foxes were brought to the island. As a result, the population of rabbits started declining by 10% each week. After the foxes had been brought in, how many rabbits were left afteri 1 week? 0.9 rabbitsii 2 weeks? rabbitsiii 10 weeks? rabbits
Solution
i) After 1 week, the rabbit population would be 90% of the original population. If we start with 1 rabbit, 90% of 1 is 0.9. So, there would be 0.9 rabbits left.
ii) After 2 weeks, the rabbit population would decline by 10% again. So, we take 90% of the remaining 0.9 rabbits. 0.9 * 0.9 = 0.81. So, there would be 0.81 rabbits left.
iii) After 10 weeks, the rabbit population would decline by 10% each week. To find this, we would take 0.9 (90%) to the power of 10. So, 0.9^10 = 0.3487. So, there would be approximately 0.35 rabbits left.
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