Graph Proportional Relationships Practice

Question

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Question
At the deli counter in the supermarket, Nigel paid $10 for 212 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 point)
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Answer 1

Let's work through this problem step by step.

First, let's define the variables:
Let "C" represent the cost of deli meat in dollars.
Let "W" represent the weight of deli meat in pounds.

We know that the cost of deli meat is proportional to its weight. In this case, we are given that Nigel paid $10 for 212 pounds of roast beef. This means that when the weight of deli meat is 212 pounds, the cost is $10.

Let's use the general form for the equation of a proportional relationship: C = kW, where "k" represents the constant of proportionality.

We can plug in the values we know to find the value of "k":
10 = k * 212

Dividing both sides by 212, we get:
k = 10/212

Simplifying this fraction, we get:
k = 0.0472

So, the equation for the graph of this proportional relationship is:
C = 0.0472W