To find the constant rate of the relationship, we need to use the formula to find the slope, which is the following:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Replace for two of the given pair of corresponding data, for example:
[tex]m=\frac{10.5-7}{3-2}=\frac{3.5}{1}=3.5[/tex]
The constant rate of the relationship is 3.5. It seems like the relationship is a proportional relationship, we can describe it as follows:
[tex]y=kx[/tex]
Where k is the constant rate or constant of proportionality, that in this case is 3.5. The relationship can be described as:
[tex]y=3.5x[/tex]
It means that the cost for one hamburger is $3.5. Everytime you add an hamburger, the total cost will have an increase of $3.5.
