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.

x= 1 2 5 10
y= 6 12 30 60

a. direct variation y=1/6x
b. inverse variation xy=6
c. direct variation y=6x
d. inverse variation xy=1/6

Answer 1

y = 6x direct variation

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

Explanation:

as when x=1

y=2

and

x=10

y=60