Question

x:7,8,9,10
y:14,16,15,17
determine whether y varies directly with x if so find the constant of variation k and wrte the equation

Answer 1

To determine whether y varies directly with x, we need to check if the ratio of y to x is constant. Let's find the ratio for each pair of corresponding values:

For (x=7, y=14): y/x = 14/7 = 2
For (x=8, y=16): y/x = 16/8 = 2
For (x=9, y=15): y/x = 15/9 = 5/3
For (x=10, y=17): y/x = 17/10 = 1.7

Since the ratios are not constant, y does not vary directly with x.

Therefore, we cannot find the constant of variation (k) and write the equation for this situation.