#1**+1 **

1. Here's how we can find the answer to the first one...if y varies directly with x...we have...

24 = k * 6 divide both sides by 6

k = 4

So.....every successive "y" value in the table should be 4 times of its associated x value...is this true.....it looks like it....so....

k = 4 and y = 4x

2. For the second one...the answer is no

Note....if x = 3 , then y = -13

And..if x = 6 , then y = -20

And if x = 9, then y = -27......

If this were a direct variation like the first problem, successive y values would be multiples of the first....but this isn't so

[ Look at the first problem....x and y both change by multiples of 3 ]

3. y = kx .....so......

2.52 = k (8.4) divide both sides by 8.4

2.52 / 84 = k = 3/10

So when x = 2.7....we have that

y = (3/10) 2.7

y = 8.1 / 10 = 0 .81

CPhill Sep 22, 2017