Question

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

Answer 1

Answer:

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

$k\text{ = }\frac{2}{16}\text{ = }\frac{1}{8}$

The equation is thus:

$y\text{ = }\frac{x}{8}$

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:

$y\text{ = }\frac{7}{8}$