To find the equation of the linear function that models the relationship shown in the table, we can use the two data points provided: (4, 38) and (6, 58).
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Calculate the slope (m):
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Use the point-slope form of the linear equation: We use one of the points (let's use (4, 38)) and the slope we just calculated.
Substituting in the values: -
Simplify:
The equation of the linear function that models the relationship shown in the table is: