Question

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

Let x be the weight of the deli meat in pounds and y be the cost of the deli meat in dollars.

Since the cost of the deli meat is proportional to its weight, we can write the equation as:
y = kx

Where k is the constant of proportionality.

From the given information, Nigel paid $10 for 2 1/2 pounds of roast beef, we can set up the following equation:
10 = k * (2 + 1/2)

Simplifying the equation:
10 = k * 5/2

Multiplying both sides by 2/5 to solve for k:
2/5 * 10 = k
4 = k

So, the equation for the graph of this proportional relationship is:
y = 4x