1. For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

A. yes; y = 2.75x
B. yes; y = 0.6875x
C. yes; y = 1.375x
D. no; y does not vary directly with x

* Table in attachment.

Question

1.   For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

A. yes; y = 2.75x
B. yes; y = 0.6875x
C. yes; y = 1.375x
D. no; y does not vary directly with x

* Table in attachment.

anonymous · Answer

The table is in the attachment below :)

mathmate · Answer

When y varies directly with x, then an equation of the form
y=kx can be written.
In the given example, we have
y=kx
11=k*8, or
k=11/8
Check that k=11/8 works with the rest of the data:
(11/8)*16=22 OK
(11/8)*24=33 OK
So the relation is a direct variation, and the constant k = 11/8=1.375
Can you find the right answer from the 4 choices?