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)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
15 days ago

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.