A LINER RELATIONSHIP IS SHOWN IN THE TABLE
TIME 2 4 6 8
DISTANCE 6 12 18 24
IS THE LINER RELATIONSHIP ALSO PROPORTIONAL EXPLAIN WHY
No, the linear relationship is not proportional.
In a proportional relationship, the ratio between the independent variable (time) and the dependent variable (distance) should remain constant. However, in this case, the ratio changes as time increases.
When the time is 2, the distance is 6. The ratio is 6/2 = 3.
When the time is 4, the distance is 12. The ratio is 12/4 = 3.
When the time is 6, the distance is 18. The ratio is 18/6 = 3.
When the time is 8, the distance is 24. The ratio is 24/8 = 3.
As we can see, the ratio is not constant, so the linear relationship is not proportional.