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For a given population data the population growth equation was

determined between tear 2000 to 2020 as the following:
5000 = 1000 + k*t
Determine population by year 2050 if it follows the same growth

User Aldryd
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Answer and Explanation:

To determine the population by the year 2050 using the given growth equation, we need to substitute the values and solve for the variable. The growth equation given is:

5000 = 1000 + k*t

Here, 5000 represents the population, 1000 represents the initial population at the year 2000, k is the growth rate, and t represents the number of years since 2000.

1. Subtract 1000 from both sides of the equation to isolate the growth term:

5000 - 1000 = k*t

2. Simplify the equation:

4000 = k*t

3. Since we know the time difference between 2000 and 2050 is 50 years, we can substitute t with 50:

4000 = k * 50

4. Divide both sides of the equation by 50 to solve for the growth rate:

4000 / 50 = k

Simplifying further, we get:

80 = k

5. Now that we have the growth rate, we can use the same equation to find the population in 2050:

Population in 2050 = 1000 + k * t

Population in 2050 = 1000 + 80 * 50

Calculating the equation, we get:

Population in 2050 = 1000 + 4000

Population in 2050 = 5000

Therefore, if the population follows the same growth rate as determined by the given equation, the population in the year 2050 would be 5000.

User Ilmiacs
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