Use the image to answer the question.



A graph shows the x-axis representing weight in ounces ranging from 0 to 6 in increments of 2, and the y-axis representing cost in dollars ranging from 0 to 15 in increments of 5. A line is drawn ending with an arrow. The line begins at the origin and passes through left parenthesis 2 comma 10 right parenthesis.
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)

1 answer

The equation of the graph can be written in the form y = kx, where y represents the cost in dollars and x represents the weight in ounces.

We are given that the line passes through the point (2,10).

Substituting these values into the equation, we get 10 = k(2).

Solving for k, we find that k = 5.

Therefore, the constant of proportionality is 5.

The equation of the graph is y = 5x.
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