At the deli counter in the supermarket, Nigel paid $10 for 212 pounds of roast beef. The cost of deli meat is proportional to its weight. What is the equation for the graph of this proportional relationship

Let's call the cost of deli meat y and the weight of deli meat x.

We know that Nigel paid $10 for 212 pounds of roast beef. Therefore, we have the following equation:

10 = k * 212

Where k is the constant of proportionality.

To find the value of k, we can divide both sides of the equation by 212:

10/212 = k

Simplifying this expression:

0.047169811320754716 = k

So, the equation for the graph of this proportional relationship is:

y = 0.047169811320754716x