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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.465. (page 741)

If $y$ varies directly as $x$ when $y = 9$ and $x = 3$ , find $x$ when $y = 21$ .

Short Answer

Expert verified

The solution is $x = 7$ .

Step by step solution

01

Step 1. Given information.

$y$ varies directly as $x$ , when $y = 9$ and $x = 3$ .

02

Step 2. The equation that relates x and y is to be determined.

The formula for direct variation is $y = k x$ .

Substitute $y = 9$ and $x = 3$ :

$9 = 3 k k = \frac{9}{3} k = 3$

03

Step 3. Rewriting the general equation with the value obtained for k and solve for x.

$y = k x y = 3 x 鈥� (k = 3)$

Substitute $y = 21$ .

$21 = 3 x \frac{21}{3} = x 7 = x$

04

Step 4. Simplified answer.

Hence, $x = 7$ when $y = 21$ .

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Most popular questions from this chapter

Simplify the complex rational expression by using the LCD:

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