Math Problem Statement

Do x and y have a proportional relationship?

Solution

To determine whether xx (pounds of tomatoes) and yy (cost in dollars) have a proportional relationship, we must check the following conditions:

  1. Linear relationship: The graph must show a straight line.
  2. Pass through the origin (0, 0): In a proportional relationship, if x=0x = 0, then y=0y = 0.

Observations:

  • The graph shows a straight line.
  • The line clearly passes through the origin (0, 0).

This means xx and yy 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:

  1. What is the equation of a proportional relationship?
  2. How do you determine the constant of proportionality from a graph?
  3. What are examples of real-world proportional relationships?
  4. How can you tell if a relationship is proportional from a table of values?
  5. What does the slope of a proportional graph represent?

Tip:

In a proportional relationship, the equation is of the form y=kxy = kx, where kk 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