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Chapter 8: Q. 465 (page 1018)

If vvaries directly as wand v=24, when w=8, find the equation that relates vand w.

Short Answer

Expert verified

The equation that relatesvandwis,v=3w.

Step by step solution

01

Step 1. Given information

vvaries directly as w.

v=24, when w=8.

02

Step 2. Write the formula for 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.

24=k.8

Solve for the constant variation.

248=k.88k=3

Substitute k=3in the given equation.

v=3w.

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