Proportional and Inversely Proportional Sequences Quiz
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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 (A)</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 (D)</p> Signup and view all the answers

What is direct variation?

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

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

<p>$y = kx$ (C)</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 (A)</p> Signup and view all the answers

What is the equation for inverse variation?

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

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