The2010 census shows that the population of New Jersey increased by 4.5%. If the 2010 population was 8,791,894, what was the population in 2000?'
1.045x = 8,791,894
x = ?
If the assumption is that the population growth is constant at 4.5%, then
Let x=population in 2000,
8791894=x*1.04510
Solve for x.
To find the population in 2000, we need to calculate the growth rate from 2000 to 2010 and apply it to the 2000 population.
First, let's calculate the growth rate:
Growth Rate = (New Population - Old Population) / Old Population
Let's apply this formula to find the growth rate from 2000 to 2010:
Growth Rate = (8,791,894 - Old Population) / Old Population
Now, we know that the growth rate is 4.5%. We can substitute this value into the formula:
0.045 = (8,791,894 - Old Population) / Old Population
We can now solve for Old Population.
Multiply both sides of the equation by Old Population:
0.045 * Old Population = 8,791,894 - Old Population
Rearrange the equation:
0.045 * Old Population + Old Population = 8,791,894
Combine like terms:
1.045 * Old Population = 8,791,894
Divide both sides by 1.045:
Old Population = 8,791,894 / 1.045
Calculating this, we find that the population in 2000 was approximately 8,413,606.