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?(1 point)

Answer 1

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.