Proportional and Inversely Proportional Sequences Quiz
10 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

In mathematics, when are two sequences of numbers directly proportional?

  • When their corresponding elements have a constant difference
  • When their corresponding elements have a constant sum
  • When their corresponding elements have a constant product
  • When their corresponding elements have a constant ratio (correct)

    • What is the reciprocal of the coefficient of proportionality?

  • Constant of normalization (correct)
  • Constant of variation
  • Constant of transformation
  • Constant of inversion

    • When are two sequences of numbers inversely proportional?

  • When their corresponding elements have a constant sum
  • When their corresponding elements have a constant difference
  • When their corresponding elements have a constant product (correct)
  • When their corresponding elements have a constant ratio

    • What happens when the ratio of two functions $f(x)$ and $g(x)$ is a constant function?

    <p>The two functions are proportional</p> Signup and view all the answers

    What is the meaning of variable in the context of related varying quantities?

    <p>Not the common meaning of the term in mathematics</p> Signup and view all the answers

    What is direct variation?

    <p>A relationship between two variables where their product is constant</p> Signup and view all the answers

    If y varies directly as x, which equation represents this relationship?

    <p>$y = kx$</p> Signup and view all the answers

    If y varies directly as x, and when x = 4, y = 12, what is the value of the constant of variation?

    <p>3</p> Signup and view all the answers

    What is the equation for inverse variation?

    <p>$xy = k$</p> Signup and view all the answers

    If y varies inversely as x, and when x = 3, y = 8, what is the value of the constant of variation?

    <p>24</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser