Question

For the data in the table, tell whether y varies directly with x . If it does, write an equation for the direct variation

X | Y
________
2     .   -6.6
3     .   -9.9
4     .   -13.2
5     .   -16.5

A. yes;y=-1/3x
B. yes;y=x - 3.3
C. no
D. yes; y = –3.3x

Answer 1

Answer: D. yes; y = –3.3x

Explanation:

Answer 2

For this case, the first thing to do is to graph the table with the ordered pairs given to observe the behavior of the graph.
The behavior is linear.
The slope of the line will be:
m = (y2-y1) / (x2-x1)
The equation of the line will be.
y-yo = m (x-xo)
Where,
(xo, yo): Any point in the table.
The equation of the line in this case is:
y = -3.3x
Answer:
D. yes; y = -3.3x