At the Custard Creamery, the cost of ice cream custard is directly proportional to its weight in ounces. Complete the equation of the graph with is constant of proportionality
Let's say the cost of ice cream custard is directly proportional to its weight in ounces, and the constant of proportionality is represented by the variable "k."
The equation representing this relationship can be written as:
Cost of ice cream custard = k * Weight of ice cream custard
where "k" is the constant of proportionality.
Please note that we cannot provide the specific value of "k" without any additional information or data. The constant of proportionality would depend on various factors, such as the pricing structure, overhead costs, and profit margin of the Custard Creamery.
To complete the equation of the graph, we need to find the constant of proportionality relating the cost of the ice cream custard to its weight in ounces.
Let's denote the cost of the ice cream custard as C and its weight in ounces as W.
Since the cost of the ice cream custard is directly proportional to its weight, we can write the equation as:
C = k * W,
where k is the constant of proportionality that we need to find.
To determine the value of k, we can use a specific data point. Let's say that when the weight of the ice cream custard is 8 ounces, the cost is $4.
Substituting these values into the equation, we have:
4 = k * 8.
Now, we can solve for k:
k = 4/8 = 1/2.
Therefore, the equation of the graph with the constant of proportionality is:
C = (1/2) * W.
To find the equation of the graph representing the relationship between the cost of ice cream custard and its weight in ounces, we need to determine the constant of proportionality.
Let's denote the cost of the custard as C and the weight in ounces as W. We can express the relationship as:
C = k * W
In this equation, k represents the constant of proportionality that we need to find.
To determine the value of k, we need some data points from the Custard Creamery. Let's assume we have two data points: (W1, C1) and (W2, C2). To find k, we can set up the following equation:
C1 = k * W1 (equation 1)
C2 = k * W2 (equation 2)
Now we can find k by dividing equation 2 by equation 1:
C2 / C1 = (k * W2) / (k * W1)
C2 / C1 = W2 / W1
Since we have the values of C1, C2, W1, and W2, we can substitute them to calculate the ratio C2 / C1. Once we have the ratio, we can solve for k:
k = (C2 / C1) * (W1 / W2)
By substituting the given values, you will be able to calculate the constant of proportionality (k) for the Custard Creamery.