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To express the relationship between the cost (C) of deli meat and its weight (W) in pounds, we start with the information you provided: Nigel paid $10 for 2.5 pounds of roast beef.
Since the cost is proportional to the weight, we can express this relationship as:
\[ C = k \cdot W \]
where \( k \) is the constant of proportionality.
To find \( k \), we can use the information given. Nigel paid $10 for 2.5 pounds:
\[
10 = k \cdot 2.5
\]
Now, solve for \( k \):
\[
k = \frac{10}{2.5} = 4
\]
So, the equation that represents the relationship between the cost \( C \) and the weight \( W \) is:
\[
C = 4W
\]
This means that the cost of deli meat is $4 per pound.