Aunt Andrea decided to help with decorations for Rachel’s party. Aunt Andrea created a table to find the amount of balloons she will need.

Question

A 2-column table with 4 rows. Column 1 is labeled Tables, x with entries 3, 4, 5, 6. Column 2 is labeled Balloons, y with entries 15, 20, 25, 30.

What is the equation that represents the scenario?
y = x + 5
y = 5x
y = 3x
y = x + 15

Answer 1

To find the equation that represents the scenario, we need to analyze the relationship between the number of tables (x) and the number of balloons (y) based on the provided data.

From the table:

• When x = 3, y = 15
• When x = 4, y = 20
• When x = 5, y = 25
• When x = 6, y = 30

We can see that as the number of tables increases, the number of balloons also increases. Specifically, the y-values increase by 5 for each increase of 1 in the x-values.

We can express this relationship as:

\[ y = 5x \]

To confirm, we can substitute values of x into our equation:

• If \( x = 3 \): \( y = 5(3) = 15 \)
• If \( x = 4 \): \( y = 5(4) = 20 \)
• If \( x = 5 \): \( y = 5(5) = 25 \)
• If \( x = 6 \): \( y = 5(6) = 30 \)

All outcomes match the table entries, so the correct equation that represents the scenario is:

\[ y = 5x \]