A town's population has been growing linearly since 2000. In 2005 the population was 42500. In 2009 the population was 53300.Given the formula for the function P(t), the population t years after 2000. P ( t ) = ?Use the formula to find the population in 2013:?

Question

A town&#039;s population has been growing linearly since 2000. In 2005 the population was 42500. In 2009 the population was 53300.Given the formula for the function P(t), the population t years after 2000.  P  (  t  )  =  ?Use the formula to find the population in 2013:?

Melany Flynn · Accepted Answer

Step 1                    Y        e        a        r                    P        o        p        u        l        a        t        i        o        n                            2005                    42500                            2009                    53300            Year after 2000  2005  ,      x    1    =  5  ,      y    1    =  42500  2009  ,      x    2    =  9  ,      y    2    =  53300  y  −      y    1    =                    y        2            −              y        1                            x        2            −              x        1              (  x  −      x    1    )  y  −  42500  =  (            53300      −      42500              9      −      5        )  (  x  −  5  )  y  −  42500  =  2700  (  x  −  5  )  y  =  2700  x  +  29000  p  (  π  )  =  2700  π  +  29000Step 2In 2013   π  =  13  ∴  p  (  13  )  =  2700  (  13  )  +  29000  =  35100  +  29000  =  64100

A town's population has been growing linearly since 2000. In 2005 the population was 42500. In 2009 the population was 53300.

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