1. If x varies directly as y, the equation can be written as A. xy = k B. x = ky С. = X D. xk = y 2. In the circumference of a circle, C=2nr, which is the constant of variation? A. C 3. Which of the following equations is an example of combined variation? В. r С. п D. 2п 6 1000 C. y = 14 3z В. у %3 А. у у 3 D. y = 12

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Variation Quiz

1. **If \( x \) varies directly as \( y \), the equation can be written as:**
   - A. \( xy = k \)
   - B. \( x = ky \)
   - C. \( \frac{k}{x} = y \)
   - D. \( xk = y \)

2. **In the circumference of a circle, \( C = 2\pi r \), which is the constant of variation?**
   - A. \( C \)
   - B. \( r \)
   - C. \( \pi \)
   - D. \( 2\pi \)

3. **Which of the following equations is an example of combined variation?**
   - A. \( y = \frac{14}{x} \)
   - B. \( y = \frac{1000}{x} \)
   - C. \( y = \frac{3z}{x} \)
   - D. \( y = \frac{6}{12x} \)

4. **Which of the following illustrates joint variation?**
   - A. \( y = kwx \)
   - B. \( y = \frac{k}{wx} \)
   - C. \( y = \frac{kx}{w} \)
   - D. \( k = xyw \)

5. **What statement of variation describes the table of values below?**

   \[
   \begin{array}{|c|c|c|c|c|c|}
   \hline
   x & 2 & 5 & 10 & 20 & 25 \\
   \hline
   y & 50 & 20 & 10 & 5 & 4 \\
   \hline
   \end{array}
   \]

   - A. \( y \) varies directly as \( x \)
   - B. \( y \) varies jointly as \( x \)
   - C. \( y \) varies inversely as \( x \)
   - D. \( y \) varies directly and inversely as \( x \)
Transcribed Image Text:### Variation Quiz 1. **If \( x \) varies directly as \( y \), the equation can be written as:** - A. \( xy = k \) - B. \( x = ky \) - C. \( \frac{k}{x} = y \) - D. \( xk = y \) 2. **In the circumference of a circle, \( C = 2\pi r \), which is the constant of variation?** - A. \( C \) - B. \( r \) - C. \( \pi \) - D. \( 2\pi \) 3. **Which of the following equations is an example of combined variation?** - A. \( y = \frac{14}{x} \) - B. \( y = \frac{1000}{x} \) - C. \( y = \frac{3z}{x} \) - D. \( y = \frac{6}{12x} \) 4. **Which of the following illustrates joint variation?** - A. \( y = kwx \) - B. \( y = \frac{k}{wx} \) - C. \( y = \frac{kx}{w} \) - D. \( k = xyw \) 5. **What statement of variation describes the table of values below?** \[ \begin{array}{|c|c|c|c|c|c|} \hline x & 2 & 5 & 10 & 20 & 25 \\ \hline y & 50 & 20 & 10 & 5 & 4 \\ \hline \end{array} \] - A. \( y \) varies directly as \( x \) - B. \( y \) varies jointly as \( x \) - C. \( y \) varies inversely as \( x \) - D. \( y \) varies directly and inversely as \( x \)
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