Two quantities are related, as shown in the table: ху
2 2
4 5
68
8 11
Which equation best represents the relationship?
y = 3/2x - 1
y = 3/2x + 2
y = 3/2x
y = 3x + 2

Given:

The table of values.

To find:

The equation that best represents the relationship.

Solution:

From the given table it is clear that the value of x increasing by 2 and the value of y increasing by 3. Since y is increasing at a constant rate with respect to x, therefore the given table represents a linear relationship.

Consider any two points from the given table. Let the two points are (2,2) and (4,5). So, the equation of the line is

On further simplification, we get

Therefore, the correct option is A.