Math Problem Statement
Do x and y have a proportional relationship?
Solution
To determine whether (pounds of tomatoes) and (cost in dollars) have a proportional relationship, we must check the following conditions:
- Linear relationship: The graph must show a straight line.
- Pass through the origin (0, 0): In a proportional relationship, if , then .
Observations:
- The graph shows a straight line.
- The line clearly passes through the origin (0, 0).
This means and do have a proportional relationship, because both conditions for proportionality are satisfied.
Correct Answer:
The correct choice is "yes".
Would you like more details or explanations about proportional relationships?
Related Questions:
- What is the equation of a proportional relationship?
- How do you determine the constant of proportionality from a graph?
- What are examples of real-world proportional relationships?
- How can you tell if a relationship is proportional from a table of values?
- What does the slope of a proportional graph represent?
Tip:
In a proportional relationship, the equation is of the form , where is the constant of proportionality (slope).
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Math Problem Analysis
Mathematical Concepts
Proportional Relationships
Linear Graphs
Origin Check
Formulas
y = kx (constant of proportionality)
Theorems
A proportional relationship must form a straight line passing through the origin.
Suitable Grade Level
Grades 6-8