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 its constant of proportionality
Let's assume the constant of proportionality is represented by the letter "k".
The equation of the graph can be written as:
Cost = k * Weight
Here, "Cost" represents the cost of ice cream custard and "Weight" represents its weight in ounces.
Since the cost is directly proportional to the weight, we multiply the weight by the constant of proportionality.
To complete the equation of the graph, we need the constant of proportionality. Let's denote the cost of ice cream custard as "C" and its weight in ounces as "W." Since the cost is directly proportional to the weight, we can write the equation as:
C = k * W
where "k" is the constant of proportionality.
To find the value of "k," we can use a data point from the graph. Let's say that when the weight of the ice cream custard is 6 ounces, the cost is $4.
C = k * W
4 = k * 6
To solve for "k," divide both sides of the equation by 6:
k = 4/6
k = 2/3
So, the equation of the graph with its constant of proportionality is:
C = (2/3) * W
To complete the equation of the graph, we need to determine the constant of proportionality. Let's assume that the cost of ice cream custard (C) is directly proportional to its weight in ounces (W). We can express this relationship with the equation:
C = k * W
In this equation, k represents the constant of proportionality that we want to find.
To determine the value of k, we need additional information. Suppose we know that a 4-ounce ice cream custard costs $3. We can substitute these values into the equation to solve for k:
3 = k * 4
To isolate k, we divide both sides of the equation by 4:
k = 3 / 4
Simplifying:
k = 0.75
Therefore, the completed equation of the graph is:
C = 0.75 * W
This equation states that the cost (C) of ice cream custard is equal to 0.75 times its weight (W) in ounces.