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Chapter 8: Q. 470 (page 1018)

If vvaries directly as wand v=8, when w=12, find the equation that relates vandw.

Short Answer

Expert verified

The equation that relatesvandwis,v=16w.

Step by step solution

01

Step 1. Given information

vvaries directly as w.

v=8, whenw=12.

02

Step 2. Write the formula for the direct variation.

y=k.x

We will use vin place of yand win place of x.

v=k.w

Substitute the given values in the equation.

8=k.12

Solve for the constant variation.

812=k.1212k=16

Substitute k=16in the equation.

v=16w.

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