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 0,1,2,3 y 0,4,8,12
a no
b yes,y = 4x
c yes y = 0.25x
d yes y = x+4

Answer 1

Answer:

yes, y varies directly with x.

y=4x is an equation of the Direct Variation

Step-by-step explanation:

x                 y

0                0

1                 4

2                8

3                12

From the above data:

we can say that y varies directly with x.

Direct variation states that if y is expressed as the product of some constant number k and x.

i.e y=kx

Now, let any points from above data x= 2 and y= 8 to calculate the value of k,

8=2k

⇒ $k=\frac{8}{2} =4$

Therefore, the equation for the direct variation is, y=4x