Question

Y varies directly as x . If y is 2 when x is 8, then the constant of variation is 1/4 . True or False

Answer 1

Answer:

The answer is TRUE.

Step-by-step explanation:

In order to determine the answer, we have to know about the directly proportional. The directly proportional is when two variables increase at the same time. If one variable is increased, so the other one will be increase too.

The ratio of both is a constant, it is called "constant of variation".

For example:

A varies directly as B, so:

$\frac{A}{B}=k$

where k is the constant of variation

In this case, we have that Y varies directly as X. Also if Y is 2 when X is 8, the constant of variation is:

$Y=2\\X=8\\\\\frac{Y}{X}=k\\\\\frac{2}{8}=k\\\\k=\frac{1}{4}$

Finally, according to the value of the constant of variation, the statement is TRUE.

Answer 2

When y = 2, x = 8.

This can be written as: 2/8.

Simplified: 1/4

True