For the data in the table, does y vary directly with x?
X Y
10 12
15 18
20 24
is y/x the same for each row of the table, after you reduce the fraction?
I just need the answer man
To determine whether y varies directly with x, we need to check if there is a constant ratio between the values of y and x. In other words, we need to see if the ratio of y to x remains the same for all the given data points.
Let's calculate the ratios for the given data points:
For the first set of data (x = 10, y = 12): 12/10 = 1.2
For the second set of data (x = 15, y = 18): 18/15 = 1.2
For the third set of data (x = 20, y = 24): 24/20 = 1.2
Since the ratios are the same for all the data points (1.2 in this case), we can conclude that y varies directly with x. The constant ratio of 1.2 indicates that for every increase of 1 unit in x, there is a corresponding increase of 1.2 units in y.