determine whether y varies directly directly with x
if so , find the constant of variable k and write the equation
x:
7
8
9
10
y:
14
16
15
17
To determine whether y varies directly with x, we can check if the ratios of y to x are always equal.
If we calculate the ratios for the given values of x and y, we get:
Ratio for the first pair: y/x = 14/7 = 2
Ratio for the second pair: y/x = 16/8 = 2
Ratio for the third pair: y/x = 15/9 ≈ 1.67
Ratio for the fourth pair: y/x = 17/10 = 1.7
As we can see, the ratios are not always equal. Therefore, y does not vary directly with x.
Since y does not vary directly with x, we cannot find a constant of variation (k) or write an equation with direct variation.