At the deli counter in the supermarket Nigel paid $10 for 21/2 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

Answer 1

Let's assume that x represents the weight of the deli meat in pounds and y represents the cost of the deli meat in dollars.

We know that Nigel paid $10 for 21/2 pounds of roast beef, which can be written as:
10 = (2 1/2)x

To simplify the equation, we can convert 2 1/2 to an improper fraction:
10 = 5/2 * x

Now, let's isolate x by dividing both sides of the equation by 5/2:
10 / (5/2) = x

To divide by a fraction, we need to multiply by its reciprocal:
10 * (2/5) = x
4 = x

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