At the deli counter in the supermarket, Nigel paid $10 for 2 1/2 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 x be the weight of the deli meat in pounds and y be the cost of the deli meat in dollars.
Since the cost of the deli meat is proportional to its weight, we can write the equation as:
y = kx, where k is the constant of proportionality.

Given that Nigel paid $10 for 2 1/2 pounds of roast beef, we can substitute these values into the equation to find the value of k:
10 = k * 2.5
Divide both sides by 2.5:
k = 10/2.5 = 4

Therefore, the equation for the graph of this proportional relationship is:
y = 4x.