10 Questions
In mathematics, when are two sequences of numbers directly proportional?
When their corresponding elements have a constant ratio
What is the reciprocal of the coefficient of proportionality?
Constant of normalization
When are two sequences of numbers inversely proportional?
When their corresponding elements have a constant product
What happens when the ratio of two functions $f(x)$ and $g(x)$ is a constant function?
The two functions are proportional
What is the meaning of variable in the context of related varying quantities?
Not the common meaning of the term in mathematics
What is direct variation?
A relationship between two variables where their product is constant
If y varies directly as x, which equation represents this relationship?
$y = kx$
If y varies directly as x, and when x = 4, y = 12, what is the value of the constant of variation?
3
What is the equation for inverse variation?
$xy = k$
If y varies inversely as x, and when x = 3, y = 8, what is the value of the constant of variation?
24
Test your knowledge of proportional and inversely proportional sequences in mathematics with this quiz. Explore the concepts of coefficient of proportionality and constant of normalization as applied to experimental data.
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