Answer:
y = x + 5
Explanations:
There is a constant rate of change in the table, therefore, the slope can be calculated by considering any two rows on the table
Considering the points (10, 15) and (13, 18)
[tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ m\text{ = }\frac{18-15}{13-10} \\ m\text{ = }\frac{3}{3} \\ m\text{ = 1} \end{gathered}[/tex]
Using the equation:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ x_1=10,y_1=\text{ 15} \\ y\text{ - 15 = 1(x - 10)} \\ y\text{ - 15 = x - 10} \\ y\text{ = x - 10 + 15} \\ y\text{ = x + 5} \end{gathered}[/tex]
The rule that describes the relationship between x and y is y = x + 5
