Bot 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 answer

Let's denote the weight of the deli meat as "w" (in pounds) and the cost as "c" (in dollars). According to the problem, the cost of deli meat is proportional to its weight.

The equation for this proportional relationship can be written as:
c = k * w

Where "k" represents the constant of proportionality.

To find the value of "k," we can use the information given in the problem. Nigel paid $10 for 2 1/2 pounds of roast beef, which can also be written as 2.5 pounds.

Substituting these values into the equation:
10 = k * 2.5

Simplifying the equation:
k = 10 / 2.5
k = 4

Therefore, the equation for the graph of this proportional relationship is:
c = 4w