At the deli counter in the supermarket, Nigel paid $10 for 2 and 1 over 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?
Let the cost of deli meat be represented by C and the weight of deli meat be represented by W. Since the cost of deli meat is proportional to its weight, we can write the equation as C = kW, where k is the constant of proportionality.
To find the value of k, we can use the information given in the problem. Nigel paid $10 for 2 and 1 over 2 pounds of roast beef.
So, the equation becomes 10 = k * (2.5).
Solving for k, we divide both sides of the equation by 2.5:
k = 10 / 2.5 = 4.
Therefore, the equation for the graph of this proportional relationship is C = 4W.
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. (0,10)
To find the constant of proportionality, we can use the information given in the problem. At the Custard Creamery, the cost of ice cream custard is directly proportional to its weight in ounces. So, we can write the equation as C = kW, where C is the cost of ice cream custard, W is the weight in ounces, and k is the constant of proportionality.
We are given the point (0, 10), which means that when the weight is 0 ounces, the cost is $10.
Substituting these values into the equation, we get:
10 = k * 0.
Since any number multiplied by 0 is 0, we have:
10 = 0.
This equation is not true, so we made a mistake in our calculations.
Given that the constant of proportionality is not 0, we should double-check the given information. It seems there might be an error in the problem statement. Please check if there is any additional information or correct the given values, and we can assist you further.