Use the image to answer the question.

Question

The image is a graph with a line going up and to the right. It shows the relationship between the weight of something (in ounces) and its cost (in dollars). The line shows that as the weight increases, so does the cost. This is a linear function, meaning that for every ounce of weight, the cost goes up by the same amount.

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.

(1 point)
y = x
Check answerRemaining Attempts : 3

Answer 1

To express the relationship between the weight of the ice cream custard (in ounces) and its cost (in dollars) as a linear equation, we can use the form:

\[ y = kx \]

where:

• \( y \) is the cost,
• \( x \) is the weight in ounces,
• \( k \) is the constant of proportionality (the cost per ounce).

Since the problem states that the cost is directly proportional to the weight, we need to find the constant of proportionality \( k \).

If you have specific values from the graph (such as a weight in ounces and the corresponding cost), you could substitute those values into the equation to find \( k \).

For example, if the graph shows that 1 ounce costs $2, then:

\[ k = \frac{y}{x} = \frac{2 , \text{dollars}}{1 , \text{ounce}} = 2 \]

Thus, the equation would be:

\[ y = 2x \]

You can replace "2" with whatever the actual proportionality constant is from the graph to complete the equation. If you need more specific help, please provide the values shown on the graph!

Answer 2

wrong

Answer 3

I apologize for the confusion. Without the specific values or a clearer description of the graph, I couldn't determine the constant of proportionality correctly.

To rewrite the equation of the graph correctly with its constant of proportionality, you would need to specify the slope of the line from the graph. The slope represents the constant of proportionality.

If you have the coordinates of at least one point on the line (like \((x, y)\)), you can determine this constant using the relationship:

\[ k = \frac{y}{x} \]

Please provide the specific coordinates or slope, and I will help you write the correct equation for the relationship between the weight in ounces and the cost in dollars.

Answer 4

answer it

Answer 5

I apologize for any confusion earlier. If we assume the situation you outlined mathematically, and you're looking for a basic equation expressing a direct proportionality relationship between cost and weight, it typically follows this format:

\[ y = kx \]

In cases like these, the constant \( k \) represents the price per ounce of ice cream custard. Since you mentioned that the equation to complete is “y = x” and if this is the answer you were trying to determine, assuming that means the proportionality constant is 1 (which means it's $1 per ounce), we can say:

\[ y = 1x \] or simply: \[ y = x \]

In this case, \( k = 1 \), meaning each ounce costs $1.

If that's not what you were looking for, or if the constant is different based on information from the graph, please provide that specific constant or any point values, and I'd be glad to help another way!