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)
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Let y represent the cost of the roast beef and x represent the weight of the roast beef.
The given information tells us that when x = 2 1/2 pounds, y = $10.
We can set up a proportion to find the proportionality constant:
y/x = 10/(2 1/2)
Simplifying the right side:
y/x = 10/(5/2)
y/x = 10 * 2/5 = 4
Therefore, the equation for the graph of this proportional relationship is:
y = 4x