At the deadly calendar in the supermarket you got 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
To determine the equation for the graph of the proportional relationship between the cost of deli meat and its weight, we need to define the variables involved.
Let's denote the weight of the deli meat as w (in pounds) and the cost as c (in dollars).
From the given information, we know that when you sold 2 1/2 pounds of roast beef, you were paid $10. Therefore, we have the following data point:
Weight (w) = 2.5 pounds
Cost (c) = $10
To find the equation of the proportional relationship, we can use the formula:
c = k * w
where k is the constant of proportionality.
Using the data point, we can substitute the values:
$10 = k * 2.5
Now, we can solve for k by dividing both sides of the equation by 2.5:
k = $10 / 2.5
k = $4
Thus, the equation for the graph of the proportional relationship between the cost (c) and the weight (w) of deli meat is:
c = 4w
To find the equation for the graph representing the proportional relationship between the cost of deli meat and its weight, we need to determine the constant of proportionality.
In this case, we know that you got paid $10 for 2 1/2 pounds of roast beef. Let's convert this fraction to a decimal: 2 1/2 = 2.5 pounds of roast beef.
To find the constant of proportionality, we divide the payment ($10) by the weight of the roast beef (2.5 pounds):
Constant of proportionality = Payment ÷ Weight
Constant of proportionality = $10 ÷ 2.5 pounds
Constant of proportionality = $4 per pound
Therefore, the equation for the graph of this proportional relationship is:
Cost = Constant of proportionality × Weight
Substituting the constant of proportionality we calculated earlier, the equation becomes:
Cost = $4 × Weight
This equation represents the proportional relationship between the cost of deli meat (in dollars) and its weight (in pounds).
Let's define the weight as x (in pounds) and the cost as y (in dollars).
According to the given information, for 2 1/2 pounds of roast beef, you got paid $10.
We can set up a proportion to find the cost per pound:
2.5 pounds / $10 = x pounds / y dollars
Simplifying the proportion:
2.5 / 10 = x / y
0.25 = x / y
To eliminate the fraction, we can multiply both sides by y:
0.25y = x
Rearranging the equation, we get:
x = 0.25y
This is the equation for the graph of the proportional relationship between the weight and cost of deli meat at the deadly calendar in the supermarket.