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To find the equation of the linear function, we need to calculate the slope (m) and the y-intercept (b) using the given points in the table.
First, calculate the slope:
m = (Y2 - Y1) / (X2 - X1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5
Next, use the slope and one of the points to calculate the y-intercept (b):
Using point (X1, Y1) = (11, 58):
58 = 5(11) + b
58 = 55 + b
b = 3
Therefore, the equation of the linear function in y=mx+b form is:
y = 5x + 3