Question

Y varies directly as x If x = 2 then y = 6. Find y when x = 7.

Answer 1

i believe the answe is 21 because the difference between x and y is 3x

Answer 2

Since the variation is generic, then we have an equation of the form:

`y = kx`

Where,

k: proportionality constant.

We must find the value of k.

For this, we use the following data:

x = 2 then y = 6

We have then:

`6 = k2`

Clearing k we have:

`k = (6)/(2)`

`k = 3`

Then, the equation is:

`y = 3x`

Substituting for x = 7 we have:

`y = 3 (7)`

`y = 21`

Answer:

The value of y for x = 7 is:

`y = 21`