Question

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.

Answer 1

Answer:

y = 6x  direct variation

Step-by-step explanation:

Remember that direct variation is y = kx  and inverse variation is y = k/x  where k is a constant

x= 1 2 5 10

y= 6 12 30 60

First look at direct y = kx  solving for k  y/x =k

y/x from the table is 6/1 =6  12/2 = 6  30/5 =6  60/10 =6  so k=6

This is a direct variation with k=6

y = 6x

Answer 2

c. y=6x direct variation

Answer:

the table represent a direct variation

Step-by-step explanation:

as when x=1

y=2

and

x=10

y=60