The relationship between y and x is y = 5x + 15.
A linear equation is in the form:
y = mx + b
where y, x are the variables, m is the rate of change (slope) and b is the initial value of y (y intercept).
From the table, using point (5, 40) and (25, 140):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-40=\frac{140-40}{25-5} (x-5)\\\\y=5x+15[/tex]
The relationship between y and x is y = 5x + 15.
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