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

Answer 1

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