Let's denote the cost of deli meat as C (in dollars) and the weight of the meat as W (in pounds). We are given that Nigel paid $10 for 2 1/2 pounds of roast beef. This can be written as:
C = 10
Since the cost of deli meat is proportional to its weight, we introduce a constant of proportionality, k:
C = kW
Combining these two equations, we have:
10 = k(2 1/2)
To simplify, we convert the mixed number 2 1/2 to an improper fraction:
10 = k(5/2)
Multiplying both sides by 2/5 to isolate k, we get:
k = 10 * (2/5) = 20/5 = 4
Thus, the equation for the graph of this proportional relationship is:
C = 4W
At the store, Nigel paid $10 for 2 1/2 pounds of roast beef. The cost of deli meat is proportional to it's weight. What is the equation for the graph of this proportional relationship?
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