Question

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)

y= [BLANK] x

Answer 1

To find the equation for the graph of the proportional relationship between the cost (y) and the weight (x) of the roast beef, we need to determine the constant of proportionality.

Nigel paid $10 for 2 pounds of roast beef, so we can set up the relationship as follows:

\[ y = kx \]

Where:

• \(y\) is the cost,
• \(x\) is the weight in pounds, and
• \(k\) is the constant of proportionality (the cost per pound).

From the information given, we can substitute the values:

\[ 10 = k \cdot 2 \]

To solve for \(k\):

\[ k = \frac{10}{2} = 5 \]

Thus, the equation for the graph of the proportional relationship is:

\[ y = 5x \]

So, the final answer is:

y = 5x

Answer 2

nope

Answer 3

I apologize for any confusion. Let's work through it again step by step.

Nigel paid $10 for 2 pounds of roast beef. To find the cost per pound, we can divide the total cost by the weight:

\[ k = \frac{\text{Total Cost}}{\text{Weight}} = \frac{10}{2} = 5 \]

This indicates that the cost per pound of roast beef is $5.

Since the cost \(y\) is proportional to the weight \(x\), we can express this relationship as:

\[ y = kx \]

where \(k\) is the cost per pound. Thus the equation becomes:

\[ y = 5x \]

If this is still not aligned with what you expect, could you please clarify the details? Are there specific values or conditions that need to be considered? Thank you for your patience!