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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.502. (page 742)

If $y$ varies directly with $x$ , and $x = 5$ when $y = 30$ , find $x$ when $y = 42$ .

Short Answer

Expert verified

The solution is $x = 7$ .

Step by step solution

01

Step 1. Given information.

If $y$ varies directly with $x$ , and $x = 5$ when $y = 30$ .

02

Step 2. Write the equation.

$y 伪 x y = k x$

where $k$ is constant of proportionality.

03

Step 3. Find the value of k, when y=30 and x=5.

$y = k x 30 = k 5 k = \frac{30}{5} k = 6$

04

Step 4. Now, solve for x, when k=6 and y=42.

$y = k x 42 = 6 x x = \frac{42}{6} x = 7$

05

Step 5. Simplified answer.

Hence, the solution is $x = 7$ .

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