Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
(graph)
X 32 16 8
Y 24 8 6

yes; y=0.5x
yes; y=2x
yes; y=1.5x
no; y does not vary directly with x.

Answer 1

It's unusual for x-values to be listed in decreasing (instead of increasing) order. You may
find the problem easier to understand if you re-write the table to show x in increasing order.

x 8 16 32
y ?

Answer 2

y would be 6,8 ,24

Answer 3

@mathmale

Answer 4

direct variation is described by y = kx where k is a constant value

so k = y/x

check if this is true for the values in your table.

Answer 5

I think the answer is C yes; y=1.5x am I correct? @welshfella

Answer 6

work out the different values of y/x

for example 6/8 = 0.75
8/16 = ?

Answer 7

if they are different ten the answer is D

Answer 8

8/16=0.5
24/32=0.75
but how is it D?? @welshfella
because all the answers to each of the fractions give different answers?

Answer 9

because the value of k is not constant- so y does not vary directly with x

Answer 10

yes