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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 486 (page 1019)

If a varies inversely with b and $a = 12$ when $b = \frac{1}{3}$ find the equation that relates a and b.

Short Answer

Expert verified

The equation is $a = \frac{4}{b}$ .

Step by step solution

01

Step 1. Given Information.

We are given that a varies inversely with b.

When $b = \frac{1}{3}$ , then a is $12$ .

02

Step 2. Finding the equation.

The inverse variation formula is,

$a = \frac{k}{b}$

Putting the values of x and y, we get

$12 = \frac{k}{\frac{1}{3}} k = 12 脳 \frac{1}{3} k = 4$

Hence, the equation will be,

$a = \frac{4}{b}$

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