Question

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)
$$
Remaining Attempts : 3
Skip to navigation






y= x

Answer 1

To find the equation of the line representing the cost of ice cream custard, we can use the relationship given that the cost is directly proportional to weight. This means we can express it in the form:

\[
y = kx
\]

where:
- \( y \) is the cost,
- \( x \) is the weight in ounces, and
- \( k \) is the constant of proportionality.

From the graph, we have a point \( (2, 10) \), which means when the weight \( x = 2 \) ounces, the cost \( y = 10 \) dollars. We can substitute these values in to find \( k \):

\[
10 = k(2)
\]

To solve for \( k \), divide both sides by 2:

\[
k = \frac{10}{2} = 5
\]

Now, we can complete the equation of the line:

\[
y = 5x
\]

So the completed equation is:

\[
y = 5x
\]