Graph Proportional Relationships Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
2 of 52 of 5 Items
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)
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From the graph description, we know:
- The line passes through the origin (0,0).
- The line passes through the point (2, 10).
This means that when the weight is 2 ounces, the cost is $10.
To find the constant of proportionality, we divide the cost by the weight for the given point on the line:
$$ \text{Constant of proportionality} = \frac{\text{Cost}}{\text{Weight}} = \frac{10}{2} = 5 $$
The constant of proportionality is 5, which means for every ounce of ice cream custard, the cost increases by $5.
Therefore, the equation of the graph, with y representing cost in dollars and x representing weight in ounces, is:
$$ y = 5x $$
This equation indicates a directly proportional relationship between the weight of the ice cream custard and its cost, with the constant of proportionality being 5.