Q10. Question: Solve. Assume that y v... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 11: Q10. (page 673)

Question: Solve. Assume that y varies inversely as $x$ .
If $y = 7$ when $x = 6$ finding $y$ when $x = - 21$ .

Short Answer

Expert verified

When $x = 鈭� 21, y = 鈭� 2$ .

Step by step solution

Step 1. State the concept.

Relationship of the form $x y = k$ or $y = \frac{k}{x}$ where $x, y 鈮� 0$ for some nonzero constant $k$ is known as inverse variation i.e., $y$ varies inversely as $x$ .

Product Rule for Inverse Variations 鈥� If $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ are solutions of an inverse variation, then $x_{1} y_{1} = x_{2} y_{2}$ .

Step 2. Apply Product rule for Inverse Variations.

To find y when $x = 鈭� 21$ , substitute 6 for $x_{1}$ , 7 for $y_{1}$ , and $- 21$ for $x_{2}$ into the equation $x_{1} y_{1} = x_{2} y_{2}$ .

$x_{1} y_{1} = x_{2} y_{2} (6) 脳 7 = (鈭� 21) y_{2}$

Step 3. Simplify for y2.

Further, simplify by dividing both sides by $- 21$ .

$(6) 脳 7 = (鈭� 21) y_{2}$

$42 = 鈭� 21 y_{2} y_{2} = \frac{42}{鈭� 21} y_{2} = 鈭� 2$

Therefore, $y = 鈭� 2$ , when $x = 鈭� 21$ .

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91影视

Question: Solve. Assume that y varies inversely as $x$ .
If $y = 7$ when $x = 6$ finding $y$ when $x = - 21$ .

Short Answer

Step by step solution

Step 1. State the concept.

Step 2. Apply Product rule for Inverse Variations.

Step 3. Simplify for y2.

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91影视

Question: Solve. Assume that y varies inversely as x. Ify=7whenx=6finding ywhenx=-21.

Short Answer

Step by step solution

Step 1. State the concept.

Step 2. Apply Product rule for Inverse Variations.

Step 3. Simplify for y2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Geometry

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Question: Solve. Assume that y varies inversely as $x$ .
If $y = 7$ when $x = 6$ finding $y$ when $x = - 21$ .