At the deli counter in the supermarket, Nigel paid $10

Question

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)

Answer 1

Since the cost of deli meat is proportional to its weight, we can express this relationship with the equation:

$$C=k\cdot w$$

where:

• $C$ is the cost,
• $w$ is the weight in pounds, and
• $k$ is the constant of proportionality (cost per pound).

From the information given, Nigel paid $10 for 2.12 pounds of roast beef. We can find the value of $k$ by substituting these values into the equation:

$$10=k\cdot 2.12$$

To find $k$, we divide both sides by 2.12:

$$k=\frac{10}{2.12}\approx 4.72$$

So the equation representing the proportional relationship is:

$$C=4.72w$$

This means the cost $C$ in dollars is equal to approximately $4.72 times the weight $w$ in pounds.