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?

Answer 1

Let's assume the weight of deli meat is represented by the variable w and the cost of deli meat is represented by the variable c.
We are given that Nigel paid $10 for 2 1/2 pounds, which can be written as 2.5 pounds.
According to the given information, the cost of deli meat is proportional to its weight. This means that the cost is equal to a constant multiple of the weight. Let's call this constant multiple k.
So we can write the equation as:
c = k * w
We need to find the value of k. For that, we can use the given information that Nigel paid $10 for 2.5 pounds.
Substituting c = 10 and w = 2.5 into the equation, we have:
10 = k * 2.5
Dividing both sides of the equation by 2.5, we get:
k = 10 / 2.5
k = 4
Now that we have the value of k, we can write the equation of the proportional relationship as:
c = 4w.

Answer 2

At the Custard Creamery, the cost of ice cream custard is directly proportional to its weight in ounces. Complete the equation of the graph with is constant of proportionality.