For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year overthe ten-year span, (population, year) forspecific recorded years: ( 4 , 5 00 , 2 000 ) ; ( 4 , 7 00 , 2 00 1 ) ; ( 5 , 2 00 , 2 00 3 ) ; ( 5 , 8 00 , 2 00 6 ) Predict when the population will hit 20,000.
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year overthe ten-year span, (population, year) forspecific recorded years: ( 4 , 5 00 , 2 000 ) ; ( 4 , 7 00 , 2 00 1 ) ; ( 5 , 2 00 , 2 00 3 ) ; ( 5 , 8 00 , 2 00 6 ) Predict when the population will hit 20,000.
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year overthe ten-year span, (population, year) forspecific recorded years:
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Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
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