Question

Decide whether the table shows a proportional relationship between x and y.
x
y
5
25
6
30
7
35
8
40
Question content area bottom
Part 1
The table
▼
does
does not
show a proportional relationship between x and y.

Answer 1

To determine if the table shows a proportional relationship between \( x \) and \( y \), we can check if the ratio \( \frac{y}{x} \) is constant for all pairs of \( (x, y) \).

Given the pairs:

- For \( (5, 25) \): \( \frac{25}{5} = 5 \)
- For \( (6, 30) \): \( \frac{30}{6} = 5 \)
- For \( (7, 35) \): \( \frac{35}{7} = 5 \)
- For \( (8, 40) \): \( \frac{40}{8} = 5 \)

Since the ratio \( \frac{y}{x} \) is consistently \( 5 \) for all pairs, the table **does** show a proportional relationship between \( x \) and \( y \).

So, the answer is: The table **does** show a proportional relationship between \( x \) and \( y \).