Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 316 (page 719)

If $v$ varies directly as $w$ and $v = 8$ , when $w = \frac{1}{2}$ . Find the relation that relates $v$ and $w$ .

Short Answer

Expert verified

The equation relating $v$ and $w$ is $v = 16 w$ .

Step by step solution

Step 1. Given information

Given that $v$ varies directly as $w$ and $v = 8$ when $w = \frac{1}{2}$ .

Step 2. Determine the equation relating v and w.

As $v$ varies directly as $w$ so, for some constant $k$ , $v = k w$ .

Label the obtained equation.

$v = k w (1)$

Substitute the given values and solve for $k$ .

$\begin{array}{rcl} 8 & = & k 路 \frac{1}{2} \\ 8 路 2 & = & k \\ 16 & = & k \end{array}$

Substitute 16 for $k$ into equation $(1)$ .

$v = 16 w$

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91影视

If $v$ varies directly as $w$ and $v = 8$ , when $w = \frac{1}{2}$ . Find the relation that relates $v$ and $w$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the equation relating v and w.

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91影视

Ifvvaries directly aswandv=8, whenw=12. Find the relation that relatesvandw.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the equation relating v and w.

One App. One Place for Learning.

Most popular questions from this chapter

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If $v$ varies directly as $w$ and $v = 8$ , when $w = \frac{1}{2}$ . Find the relation that relates $v$ and $w$ .