Use the image to answer the question.

Question

The graph shows a line that starts at the origin and goes up and to the right. The line is brown.

The y-axis is labeled "Cost ($)" and has tick marks at 0, 5, 10, and 15.
The x-axis is labeled "Weight (in ounces)" and has tick marks at 0, 2, 4, and 6.

The line passes through the points (0, 0), (2, 10) and (3, 15).

The graph shows that the cost is increasing linearly with the weight.
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

Answer 1

The graph shows that the cost \(y\) is directly proportional to the weight \(x\) in ounces.

From the points provided:

• At \(x = 2\), \(y = 10\)
• At \(x = 3\), \(y = 15\)

We can determine the constant of proportionality \(k\) using the formula:

\[ y = kx \]

Using the point \( (2, 10) \): \[ 10 = k(2) \implies k = \frac{10}{2} = 5 \]

Using the point \( (3, 15) \): \[ 15 = k(3) \implies k = \frac{15}{3} = 5 \]

Both points confirm that the constant of proportionality \(k\) is 5.

Thus, the equation of the graph is:

\[ y = 5x \]