Question

Determining If a Relationship is Proportional

A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 4, 5. Column 2 is labeled y with entries 15, 30, 60, 75.

Does this table represent a proportional relationship?
No. The points are not on the same line.
No. The line does not pass through the origin.
No. The ordered pairs do not make equivalent ratios.
Yes. The points are on a line that passes through the origin.

Answer 1

Answer: D

Explanation:

Answer 2

The table represents a proportional relationship

Explanation:

Given

x ------ y

1 ------- 15

2 --------30

4 ---------60

5 -------- 75

Required

Determine if the table shows a proportional relationship

To check this, we make use of the following formula;

Where k is the proportionality constant

When x = 1, y = 15

When x = 2, y = 30

When x = 4, y = 60

When x = 5, y = 75

Since the value of k for all values of x and y is the same; i.e. 15

Then, the table represents a proportional relationship