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Chapter 8: Q. 496 (page 1020)

If v varies directly asw andv=21, whenw=8, find the equation that relates v and w.

Short Answer

Expert verified

The equation that relates vand w is v=2.625k.

Step by step solution

01

Step 1. Given information  

v varies directly asw

v=21w=8

02

Step 2. Finding the equation. 

Write the formula for direct variation

y=kx

Substitute v for y and w for x in the equation.

v=kw

Substitute v=21&w=8in the equation.

v=kw21=k(8)218=kk=2.625

Substitute value ofk in the equation.

v=kwv=2.625k

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