Tables, x Balloons, y

Question

3 15
4 20
5 25
6 30

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.

What is the equation that represents the scenario?

(1 point)
Responses

y=x+15
y is equal to x plus 15

y=3x
y is equal to 3 x

y=x+5
y is equal to x plus 5

y=5x

Answer 1

To find the equation that represents the scenario, we can observe the relationship between the number of tables (x) and the number of balloons (y).

Looking at the data provided:

• 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 by 1, the number of balloons increases by 5. This indicates a linear relationship.

The pattern is:

• From \( 3 \) tables to \( 15 \) balloons
• From \( 4 \) tables to \( 20 \) balloons
• This shows that \( y \) increases by \( 5 \) for every increase of \( 1 \) in \( x \).

We can establish that:

\[ y = 5x \]

Thus, the correct equation that represents the scenario is:

y = 5x (y is equal to 5 times x).