The function rule for the table is y = 25/4 x
Equation of a linear function
The standard expression for a linear function is expressed as y =mx + b
where
m is the slope
b is the y-intercept
Using the coordinate points (4, 25.00) and (8, 50.0)
Determine the slope
Slope = 50-25/8-4
Slope = 25/4
Determine the y-intercept
50 = 25/4(8) + b
50 = 25(2) + b
50 = 50 + b
b = 0
Hence the function rule for the table is y = 25/4 x
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