Question

Suppose that y varies directly with y, and y = 2 when x = 16.

Answer 1

Step-by-step explanation:

a) Here, we want to write a direct variation equation:

For a direct variation, with constant k, we have it that:

`y\text{ = kx}`

To get k, the proportionality constant, we divide y by x

We have that as follows, with y as 2 and x as 16

`k\text{ = }(2)/(16)\text{ = }(1)/(8)`

The equation is thus:

`y\text{ = }(x)/(8)`

b) Given x = 7, we want to get u=y

We simply substitute the value of x into the equation above

We have that as:

`y\text{ = }(7)/(8)`