Question

Based on information in the table, which equation can be used to model the relationship between x and y?.

Answer 1

The relationship between y and x is y = 5x + 15.

Linear equation

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):

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-40=\frac{140-40}{25-5} (x-5)\\\\y=5x+15$

The relationship between y and x is y = 5x + 15.

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