At the deli counter in the supermarket in newville paid $10 for 2 1/2 lb of roast beef the cost of the deli meat is pork personal to its way what it equal what equation what is the equation for the graph of this proportional relationship
Let's start by finding the cost of the deli meat per pound.
If $10 was paid for 2 1/2 lb of roast beef, we can divide $10 by 2 1/2 to find the cost per pound.
$10 ÷ (2 + 1/2) = $10 ÷ (5/2) = $10 × (2/5) = $4
Therefore, the cost of the deli meat is $4 per pound.
Now, let's define the equation for the graph of this proportional relationship.
Let x represent the weight of the deli meat in pounds and y represent the cost of the deli meat in dollars.
The equation for this proportional relationship can be written as:
y = 4x
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To find the equation for the graph of this proportional relationship, we need to understand the given information.
1. The deli counter in the supermarket in Newville paid $10 for 2 1/2 lb of roast beef.
2. The cost of the deli meat is proportional to its weight.
Let's denote the cost of the deli meat as C and the weight of the deli meat as W. We can set up the equation as:
C = kW
In this equation, k represents the constant of proportionality. To find the value of k, we can use the given information:
$10 = k * 2.5 lb
Now, we can solve for k:
Divide both sides by 2.5 lb:
$10 / 2.5 lb = k
k = $4/lb
Therefore, the equation for the graph of this proportional relationship is:
C = $4W
The graph of this equation will be a straight line passing through the origin (0,0), with a slope of $4. The x-axis represents the weight of the deli meat (W), and the y-axis represents the cost (C).
To find the equation for the graph of this proportional relationship, we need to gather some information.
Let's denote the cost of the deli meat as C (in dollars) and the weight of the roast beef as W (in pounds). From the given information, we know that:
C = $10 (cost)
W = 2 1/2 lb (weight)
To find the equation for the graph, we need to determine the constant of proportionality (k). The constant of proportionality represents the ratio between the cost and the weight. We can find it by dividing the cost by the weight:
k = C / W
Substituting the given values, we have:
k = $10 / 2.5 lb
Simplifying further:
k = $4 per lb
This tells us that the cost per pound of deli meat is $4.
Now, to find the equation for the graph, we can use the slope-intercept form of a linear equation, which is:
y = mx + b
In this case, "y" represents the cost (C) and "x" represents the weight (W). The slope (m) is the constant of proportionality (k), and the y-intercept (b) is the cost when the weight is zero (which in this case is not applicable).
Plugging in the values, we have:
C = 4W
Therefore, the equation for the graph of this proportional relationship is C = 4W.