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?
y=_ x

In this scenario, the cost of deli meat (y) is directly proportional to its weight (x). To find the equation for this relationship, we need to determine the constant of proportionality (k).

We can start by setting up a ratio:

10/2.5 = k

Simplifying the ratio, we get:

4 = k

Therefore, the equation for the graph of this proportional relationship is:

y = 4x