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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q.314 (page 719)

In the following exercises, solve.
If a varies directly as b and $a = 16$ , when $b = 4$ . find the equation that relates a and b.

Short Answer

Expert verified

The equation can be given as $a = 4 b$

Step by step solution

01

Given information

The value of $a = 16$ when $b = 4$

02

We write the formula for direct variation

The direct variation can be given as $a = k b$

03

Substituting the values of a,b

On substituting the values we get

$16 = k (4) 16 = 4 k$

04

Find the value of k

We get,

$16 = 4 k k = \frac{16}{4} k = 4$

05

Substituting the values back in the original equation we get

We get,

$a = 4 b$

06

Conclusion

The Equation can be given as $a = 4 b$

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