Does this graph show a proportional relationship between the pounds of apples bought and the price?

The graph titled 'Apple purchases' showing 'pounds of apple bought' from 0 to 10 in increments of 1 on the x axis and 'Prices in dollars' from 0 to 9 in increments of 1 on the y axis. There is a slanting line facing starting from (0, 2) and passing through the points (3, 6), and (6, 10).
Responses

Yes, because the line on the graph is straight.

Yes, because the line on the graph is straight.

Yes, because the line moves through the y-axis.

Yes, because the line moves through the y -axis.

No, because the line does not pass through the origin.

No, because the line does not pass through the origin.

No, because the line does not give a y-value for every x-value.

No, because the line does not give a y -value for every x -value.

1 answer

The correct response is:

No, because the line does not pass through the origin.

In a proportional relationship, the line should pass through the origin (0,0). Since the line in your graph starts at (0,2), it indicates that there is a non-zero value when no pounds of apples are bought, which means the relationship is not proportional.