Read the situations in the table below. Then drag and drop the items to represent each situation. Indicate whether each relationship is proportional or non-proportional. y = 5x y = 3x Tamara runs 5 miles each week. Tamara runs 5 minutes more than she walks each day. Type of Relationship: proportional non-proportional

Let’s break down the relationships based on the equations and situations provided:

1. y = 5x: This indicates that for every unit increase in (x), (y) increases by 5 units. This is a proportional relationship because it can be expressed as a constant ratio (5:1).

2. y = 3x: Similar to the first equation, (y) increases by 3 units for every 1 unit increase in (x). This is also a proportional relationship with a constant ratio (3:1).

Now, looking at Tamara’s situations:

– Tamara runs 5 miles each week: This is a constant value. It doesn’t change based on any other variable and does not have a direct ratio relationship with another variable, making it non-proportional.

– Tamara runs 5 minutes more than she walks each day: This indicates a relationship but does not represent a constant ratio; the two activities don’t have a fixed proportional relationship since the difference (5 minutes) could vary depending on how much she walks.

### Summary:

– y = 5x: Proportional

– y = 3x: Proportional

– Tamara runs 5 miles each week: Non-proportional

– Tamara runs 5 minutes more than she walks each day: Non-proportional

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