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 the cost of deli meat be represented by C and the weight of the deli meat be represented by W.

Since the cost of deli meat is proportional to its weight, we can write the equation: C = k * W, where k is the constant of proportionality.

We know that Nigel paid $10 for 212 pounds of roast beef, so we can substitute these values into the equation: 10 = k * 212.

To find the value of k, we divide both sides of the equation by 212: k = 10/212 = 0.04717 (rounded to five decimal places).

Therefore, the equation for the graph of this proportional relationship is C = 0.04717 * W.