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The following data pairs show the monthly income X (in dollars) and the monthly car payment y (in dollars) of six people: (2100, 410), (1650, 315), (1950, 405), (1500, 295), (2250, 440), and (1800, 375). Write an equation that models the monthly car payment as a function of the monthly income. Interpret the slope and y-intercept of the line of fit.

Respuesta :

adioabiola

The equation which models the monthly car payment as a function of the monthly income is; y= (1/4)x - 122.5

Slope and y-intercept

The slope of the pair of data points is;

Slope, m = (440-410)/(2250-2100)

Slope, m = 1/5

Therefore;

slope, m = 1/4 = (y-440)/(x-2250).

Therefore, we have;

  • 4y - 1760 = x -2250

  • 4y = x - 490

  • y = (1/4)x - 122.5

Therefore, the slope and y-intercept are; 1/4 and -122.5 respectively.

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