Question

y varies directly as x can be symbolically represented as
​

Answer 1

Answer:

15

Step by step instructions:

Similarly, when x = 1, y = 1 × 5 = 5

Further, when x = 2, y = 2 × 5 = 10

And when x = 3, y = 3 × 5 = 15

By simply changing the value of y, x gets different values as well. This is the variation of y with different values of x and similarly you can show that with different values of y the value of x changes.

Variations can be of different types according to the pattern of changing or relationships of variables.

Answer 2

Given : y varies directly as x

To Find : symbolic representation

Solution

y varies directly as x

=> y is directly proportional to x

=> y ∝  x

=> y = kx   where k is a constant of proportionality

y varies directly as x can be symbolically represented as  y ∝  x

y ∝  x   is a linear graph

and passes through ( 0 , 0)

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