The worlds pop in 1970 is estimated to be 3.7*10^9. The yearly growth rate is approximately 2%. How large would the world's pop be in 1980? Please show work. Thanks :)
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Do I do log functions for this question?
To calculate the world's population in 1980 using an estimated growth rate of 2% per year, we can follow these steps:
1. Start with the initial population in 1970: 3.7 * 10^9.
2. Calculate the annual growth rate using the formula: Annual Growth Rate = Percentage Growth Rate / 100.
In this case, the percentage growth rate is 2%, so the annual growth rate would be 2 / 100 = 0.02.
3. Calculate the population growth for each year by multiplying the total population by the annual growth rate.
For example, to calculate the growth in 1971:
Population Growth in 1971 = 3.7 * 10^9 * 0.02 = 74 * 10^7.
4. Add the population growth to the previous year's population to get the current year's population.
For example, to calculate the population in 1971:
Population in 1971 = Population in 1970 + Population Growth in 1971.
5. Repeat the steps above for each year until you reach the desired year, 1980.
Let's now calculate the population for each year:
Year: 1970 (initial year)
Population: 3.7 * 10^9
Year: 1971
Population Growth: 3.7 * 10^9 * 0.02 = 74 * 10^7
Population in 1971: 3.7 * 10^9 + 74 * 10^7 = 37.4 * 10^8
Year: 1972
Population Growth: 37.4 * 10^8 * 0.02 = 748 * 10^6
Population in 1972: 37.4 * 10^8 + 748 * 10^6 = 44.18 * 10^8
... continue this process for each year until 1980 ...
Year: 1980
Population Growth: (calculate using the same formula as above)
Population in 1980: (sum of population in previous year and population growth)
By following these steps, you can determine the world's population in 1980 based on the given growth rate.