Exploring Proportional and Nonproportional Relationships

What is a key characteristic of a proportional relationship in a table?

• The product of x and y values is constant.

• The difference between y and x is constant.

• The quotient of y divided by x is constant.

• The sum of x and y values is constant.

If a table does not have a constant rate of change, what type of relationship does it represent?

• Non-proportional

• Proportional

• Non-linear

• Linear

In Example 3, what is the constant value when dividing the number of pesos by the number of dollars?

• 10

• 13

• 12

• 15

Why is the relationship between US dollars and Mexican pesos considered proportional?

• Because the difference between values is constant.

• Because the sum of values is constant.

• Because the graph passes through the origin.

• Because the quotient is not constant.

In the 'Your Turn' section, what indicates that a table is non-proportional?

• The quotient of y divided by x is constant.

• The difference between y and x is constant.

• The sum of x and y values is constant.

• The quotient of y divided by x is not constant.

In Example 4, why is Arena B considered non-proportional?

• Because it passes through the origin.

• Because it has a y-intercept of 0.

• Because the slope is constant.

• Because it does not pass through the origin.

What is the initial cost for Painter B before charging per hour?

• $50

• $35

• $20

• $0

For Test Prep Center A, what is the cost per hour?

• $25

• $15

• $20

• $30

Why is Test Prep Center B considered non-proportional?

• Because it has no initial cost.

• Because it passes through the origin.

• Because it has a y-intercept of -100.

• Because the cost per hour is constant.

In the final 'Your Turn' section, what indicates that a table is proportional?

• The quotient of y divided by x is constant.

• The sum of x and y values is constant.

• The difference between y and x is constant.

• The product of x and y values is constant.