During two years, the population of birds of an island became 7 times more than before. If the first year increase in the population was 40% , what was the percent increase of the second year?
Who asks questions about birds on an island? Anyways, I need help. This is super hard and... I would appreciate it if you would help.
i = initial population
(i * 1.4) * x = 7 i
x = 5 ... this means 1 + 400% ... a 400% increase
Of course, I'm here to help! Let's break down the problem step by step.
First, let's assume the initial population of birds on the island is represented by "P". According to the given information, at the end of the first year, the population increased by 40%.
To calculate the population at the end of the first year, we need to add 40% of the initial population to the initial population itself:
Population at the end of the first year = P + (40/100) * P
= P + 0.4P
= 1.4P
Now, we know that the population became 7 times more than before over the course of two years. Therefore, at the end of the second year, the population should be seven times the population at the end of the first year. Mathematically, we can express this as:
Population at the end of the second year = 7 * (Population at the end of the first year)
= 7 * (1.4P)
= 9.8P
Now, we need to find the percent increase in the population between the end of the first year and the end of the second year. To do this, we need to calculate the difference between the population at the end of the second year and the population at the end of the first year, and then express this difference as a percentage of the population at the end of the first year.
Percent increase of the second year = ((Population at the end of the second year - Population at the end of the first year) / Population at the end of the first year) * 100
Using the values we found, we can substitute them into the formula:
Percent increase of the second year = ((9.8P - 1.4P) / 1.4P) * 100
= (8.4P / 1.4P) * 100
= 600%
Therefore, the percent increase of the second year is 600%.
I hope this explanation helps! Let me know if you have any further questions.