Determine whether y varies directly with x. if so, find the constant of variation and write the equation.

For this case we have that if and it varies directly with x, we can write the equation as:

Where:

k: It is the constant of proportionality.

According to the table:

Clearing k:

Then,

Option C

y varies directly with x

The equation is:

Step-by-step explanation:

We can say that and it varies directly with x if it is fulfilled that

Where k is a constant known as the constant of variation.

So

This means that if y varies with x then the division of y between x should always be equal to a constant value k.

We must test this for the values shown in the table

The quotient of is always equal to . Then and the variation of y with x is direct

The equation is:

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)