At the deli counter in the supermarket, Nigel paid $10 for 2 1/2 pounds of roast beef that cost of deli meat is proportional to its weight. What is the equation for the graph of this proportional relationship?

Answer 1

Let x be the weight (in pounds) of the roast beef and y be the cost of the deli meat.

According to the given information, we know that when x = 2.5, y = 10.

The equation for a proportional relationship is of the form y = mx, where m is the constant of proportionality.

To find the value of m, we can use the given data:

m = y / x = 10 / 2.5 = 4

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