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Questions and Answers
If $y$ varies jointly as $x$ and $z$, and $y = 150$ when $x = 10$ and $z = -6$, what is the constant of variation, $k$?
If $y$ varies jointly as $x$ and $z$, and $y = 150$ when $x = 10$ and $z = -6$, what is the constant of variation, $k$?
- $k = 8400$
- $k = -2.5$ (correct)
- $k = -8400$
- $k = 25$
Given that $y$ varies jointly as $x$ and $z$ and inversely as $w$, and $y = 3$ when $x = -2$, $z = 6$, and $w = 12$, what is the constant of variation $k$?
Given that $y$ varies jointly as $x$ and $z$ and inversely as $w$, and $y = 3$ when $x = -2$, $z = 6$, and $w = 12$, what is the constant of variation $k$?
- $k = -1$ (correct)
- $k = -36$
- $k = 12$
- $k = -18$
If $y$ varies jointly as $x$ and $z$, with a constant of variation $k = -2.5$, what is the equation that represents this relationship?
If $y$ varies jointly as $x$ and $z$, with a constant of variation $k = -2.5$, what is the equation that represents this relationship?
- $y = -2.5xz$ (correct)
- $y = -2.5z/x$
- $y = -2.5x/z$
- $y = -2.5x + z$
Given that $y$ varies jointly as $x$ and $z$ and inversely as $w$, with a constant of variation $k = -3$, which equation represents this relationship?
Given that $y$ varies jointly as $x$ and $z$ and inversely as $w$, with a constant of variation $k = -3$, which equation represents this relationship?
If $y$ varies jointly as $x$ and $z$, and $y = 150$ when $x = 10$ and $z = -6$, find the value of $y$ when $x = 0.75$ and $z = 0.4$.
If $y$ varies jointly as $x$ and $z$, and $y = 150$ when $x = 10$ and $z = -6$, find the value of $y$ when $x = 0.75$ and $z = 0.4$.
If $y$ varies jointly as $x$ and $z$ and inversely as $w$, and $y = 3$ when $x = -2$, $z = 6$, and $w = 12$, find the value of $y$ when $x = 5$, $z = -4$, and $w = 0.5$.
If $y$ varies jointly as $x$ and $z$ and inversely as $w$, and $y = 3$ when $x = -2$, $z = 6$, and $w = 12$, find the value of $y$ when $x = 5$, $z = -4$, and $w = 0.5$.
Given $y$ varies jointly as $x$ and $z$ and inversely as $w$, and $y = 6$ when $x = -6$, $z = -9$, and $w = 3$, determine the constant of variation, $k$.
Given $y$ varies jointly as $x$ and $z$ and inversely as $w$, and $y = 6$ when $x = -6$, $z = -9$, and $w = 3$, determine the constant of variation, $k$.
Given $y$ varies directly as $t^2$ and inversely as $x$, and $y = 192$ when $t = 8$ and $x = 3$, find the constant of variation, $k$.
Given $y$ varies directly as $t^2$ and inversely as $x$, and $y = 192$ when $t = 8$ and $x = 3$, find the constant of variation, $k$.
If $y$ varies jointly as $x$ and $z$ and inversely as $w$, and given the constant of variation $k=1/3$. Write the equation that represents this relationship.
If $y$ varies jointly as $x$ and $z$ and inversely as $w$, and given the constant of variation $k=1/3$. Write the equation that represents this relationship.
If $y$ varies directly as $t^2$ and inversely as $x$, where the constant of variation is $k = 9$, what is the equation that represents this relationship?
If $y$ varies directly as $t^2$ and inversely as $x$, where the constant of variation is $k = 9$, what is the equation that represents this relationship?
What type of variation is represented by the equation $y = kxz$?
What type of variation is represented by the equation $y = kxz$?
In the relationship 'y varies directly as x', if x doubles, what happens to y?
In the relationship 'y varies directly as x', if x doubles, what happens to y?
What does 'k' represent in the equation for direct variation, $y = kx$?
What does 'k' represent in the equation for direct variation, $y = kx$?
In inverse variation, if one variable increases, what happens to the other variable?
In inverse variation, if one variable increases, what happens to the other variable?
What type of variation includes both direct and inverse variation in the same equation?
What type of variation includes both direct and inverse variation in the same equation?
If $y$ varies directly as $x$, which equation represents this relationship?
If $y$ varies directly as $x$, which equation represents this relationship?
If $y$ varies inversely as $x$, which equation represents this relationship?
If $y$ varies inversely as $x$, which equation represents this relationship?
What is the first step in solving a variation problem?
What is the first step in solving a variation problem?
If $y$ varies directly as the square of $x$, the equation is:
If $y$ varies directly as the square of $x$, the equation is:
In the equation $y = kxz$, what kind of variation is represented?
In the equation $y = kxz$, what kind of variation is represented?
If y varies inversely as the square root of x, the equation is:
If y varies inversely as the square root of x, the equation is:
What does it mean for $y$ to vary directly as $x$?
What does it mean for $y$ to vary directly as $x$?
Which of the following is an example of inverse variation?
Which of the following is an example of inverse variation?
If $y$ varies inversely as $x$ and $y = 4$ when $x = 3$, what is the value of $k$?
If $y$ varies inversely as $x$ and $y = 4$ when $x = 3$, what is the value of $k$?
If $z$ varies jointly as $x$ and $y$, and $z = 6$ when $x = 2$ and $y = 1$, what is the value of the constant of variation, $k$?
If $z$ varies jointly as $x$ and $y$, and $z = 6$ when $x = 2$ and $y = 1$, what is the value of the constant of variation, $k$?
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