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Determine which coefficients result in the equation that models this data: y = 10 x +

Determine which coefficients result in the equation that models this data: y = 10 x +

Answer

The data suggests a linear relationship between study time (t) and grade (y). We can use two points to find the slope (m) and then the y-intercept (b) for the equation y = mx + b.

Using points (0, 66) and (3, 96):

  1. Slope (m) = (96 - 66) / (3 - 0) = 30 / 3 = 10
  2. Using y = mx + b with point (0, 66): 66 = 10(0) + b, so b = 66

Thus, the equation is y = 10x + 66.

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