SOLUTION: These data represent the population of a certain city. Year Population (in thousands) 1950 18 1960 23 1970 29 1980 32 1990 38 2000 42 (a

Question 121432: These data represent the population of a certain city.
Year Population (in thousands)
1950 18
1960 23
1970 29
1980 32
1990 38
2000 42

(a) Draw a line graph for the data.
(b) Use the line graph to predict the population in the year 2010

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
Y=mX+b
USING THE POINTS (5,18)(10,42) WE HAVE A SLOPE OF:
(42-18)/(10-5)=24/5=4.8.
NOW USING ONE SET OF POINTS WE FIND THE Y INERCEPT.
18=4.8*5+b
b=18-24
b=-6
NOW WE HAVE THE LINE EQUATION:
Y=4.8X-6
WHEN X=11 THE Y=4.8*11-6 OR Y=46.8
this says that the population in 2010 will be 46.8 thousand.
(graph 300x300 pixels, x from -6 to 12, y from -10 to 50, y = 4.8x -6).

RELATED QUESTIONS
These data represent the population of a certain city. Year Population (in... (answered by stanbon)

These data represent the population of a certain city. Year Population (in thousands)... (answered by stanbon)

These data represent the population of a certain city. Year Population (in thousands)... (answered by checkley75)

These data represent the population of a certain city. Year Population (in thousands) (answered by checkley71)

These data represent the population of a certain city. Year Population (in... (answered by Edwin McCravy)

This data represents the population of a certain geographic region. Year... (answered by stanbon)

The percentage of the U.S. population that is foreign born are listed in the table... (answered by Fombitz)

POPULATION The table shows the population for a given urban area. Let x be the number... (answered by Fombitz)