SOLUTION: According to data from the US Census Bureau, the population P of Cleveland, Ohio (in thousands) in year x can be approximated b P(x)=.08x^2-13.08x+927, where x=0 corresponds to 195
Algebra.Com
Question 188821: According to data from the US Census Bureau, the population P of Cleveland, Ohio (in thousands) in year x can be approximated b P(x)=.08x^2-13.08x+927, where x=0 corresponds to 1950. In what calendar year, is the population about 1,000,000?
I have tried setting the equation to 1,000,000 (for example: 1,000,000=.08x^2-13.08x+927), but when I solve it, I come out with some outrageous number for the year... could you please show me the steps as to how I am supposed to set it up? I can preform the math, I am just unsure of the set up.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
According to data from the US Census Bureau, the population P of Cleveland, Ohio (in thousands) in year x can be approximated b P(x)=.08x^2-13.08x+927, where x=0 corresponds to 1950. In what calendar year, is the population about 1,000,000?
I have tried setting the equation to 1,000,000 (for example: 1,000,000=.08x^2-13.08x+927),
:
One fact you overlooked, the population is given "In Thousands" therefore:
1,000,000 would be written as 1000
:
The equation would be:
.08x^2 - 13.08x + 927 = 1000
;
.08x^2 - 13.08x + 927 - 1000 = 0
:
.08x^2 - 13.08x - 73 = 0
Solve this and you will get a positive solution of approx 169 yrs from 1950 which is 2119
RELATED QUESTIONS
According to projection by the U.S. Census Bureau, the world population (in billions) in... (answered by ewatrrr)
Suppose the U.S. Census Bureau projects the population of a certain state to be 2588... (answered by TimothyLamb)
According to the U.S. Census Bureau, the population of the United States in 2008 was 304... (answered by Theo)
According to the report “Population Distribution and Change: 2000 to 2010” from the... (answered by Theo)
According to the U.S. Census Bureau the population of the United States has been growing... (answered by stanbon)
According to the US Census Bureau, the total 2008 US population was 303,824,640. The... (answered by stanbon)
7.) According to the U.S. Census Bureau, the population of the United States in 2010 was... (answered by stanbon)
RSA census bureau data indicates that the average price of color TV sets can be expressed (answered by Theo)
According to the US Census Bureau, the total 2008 US population was 303,824,640. The... (answered by stanbon)