Question

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

Answer 1

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:

$k = \frac{6}{2}$

$k = 3$

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:

$y = 21$

Answer 2

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