Answer:
D. y = 5x
Explanation:
This graph shows a linear relationship between the number of sandwiches bought (x) and their cost (y). In this question, we are asked to define the relationship between x and y using an equation. Since this relationship is linear and thus has a constant of proportionality, we can represent it in the form: y = mx, where m is the ratio of the cost of sandwiches to the number of sandwiches. We can solve for m with the formula:
m = rise / run
So, the value m of the given line is:
m = 10 / 2
m = 5
Hence, the equation that displays the proportional relationship between the number of sandwiches bought (x) and their cost (y) is D. y = 5x.