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

tables balloons
3 15
4 20
5 25
6 30
What is the equation that represents the scenario?

(1 point)
Responses

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

y=5x
y is equal to 5 x

y=3x
y is equal to 3 x

y=x+15

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) from the table provided:

• For 3 tables, there are 15 balloons.
• For 4 tables, there are 20 balloons.
• For 5 tables, there are 25 balloons.
• For 6 tables, there are 30 balloons.

From the data, we can see that as the number of tables increases, the number of balloons increases by 5 for each additional table. This suggests that the number of balloons is directly proportional to the number of tables.

We can identify that:

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

The relationship can be summarized as \( y = 5x \).

Therefore, the correct equation that represents the scenario is:

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