Find the constant of variation k for the direct variation 4x = -y

The constant of variation k is, -4

Step-by-step explanation:

The direct variation says that:

, then the equation is in the form of:

       ....[1] where, k is the constant of variation.

As per the statement:

Given the direct variation:

Divide both sides by -1 we have;

or

y = -4x

On comparing with [1] we have;

k = -4

Therefore, the constant of variation k is, -4

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36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls