Blitzer 2.4 Math 152 Linear Functions Slope Worksheet Page 6

VI. Modeling Data using the slope-intercept form of the equation

1) The following graph is a scatter plot that shows the median household income for

Californians. Also shown is a line that passes through or near the points.

63,000

61,021

59,948

61,000

59,000

(5, 61021)

56,645

57,000

53,629

55,000

53,000

51,189

50,200

51,000

49,000

(0, 50220)

47,000

45,000

Number of years after 2003

a) According to the graph, what is the y-intercept of the line? Describe what this

represents in this situation.

b) Use the coordinates of the points shown to compute the slope of the line. Describe

what this means in terms of the rate of change.

c) Use the y-intercept from part (a) and the slope from part (b) to write a linear

function that models the median household income for Californians, C(x), x years

after 2003.

d) Use the function of part (c) to predict the median household income for Californians

in 2009.

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