Question

The unlabeled graph shows the relationship between two customary unit of measure.Only two pairs of units can be represented by the graph

Answer 1

The possible pairs of units are (1,4) and (2,8). The second commodity units are 4 times of the first commodity units. The relation between all pairs is defined as
`y=4x`.

Explanation:

Let the first commodity units be x and second commodity units be y.

From the given graph it is noticed that the line is passing through the points (1,4) and (2,8). Therefore the possible pairs of units are (1,4) and (2,8).

Slope of a line is:

`m=(y_2-y_1)/(x_2-x_1)`

`m=(8-4)/(2-1)`

`m=(4)/(1)`

`m=4`

Therefore the slope of the line is 4. If the second commodity units increased by 4 units if the first commodity units increased by 1 units.

Slope intercept form of a line is:

`y=mx+b`

Where, m is slope and b is y-intercept.

The slope of the line is 4 and y-intercept is origin.

`y=4x+0`

`y=4x`

Therefore the possible pairs of units are (1,4) and (2,8). The second commodity units are 4 times of the first commodity units. The relation between all pairs is defined as
`y=4x`.