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Questions and Answers
If $y$ varies directly as $x$, and $y = 6$ when $x = 3$, what is the value of $y$ when $x = 5$?
If $y$ varies directly as $x$, and $y = 6$ when $x = 3$, what is the value of $y$ when $x = 5$?
- $\frac{36}{5}$
- $\frac{5}{36}$
- -10
- 10 (correct)
If $y$ varies directly as $x$ and $y = \frac{36}{5}$ when $x = 9$, what is the value of $y$ when $x = 6$?
If $y$ varies directly as $x$ and $y = \frac{36}{5}$ when $x = 9$, what is the value of $y$ when $x = 6$?
- $\frac{-24}{5}$
- $\frac{1}{20}$
- $-\frac{1}{20}$
- $\frac{24}{5}$ (correct)
If $y$ varies directly as $x$ and $y = -\frac{2}{3}$ when $x = -1$, what is the value of $y$ when $x = 1$?
If $y$ varies directly as $x$ and $y = -\frac{2}{3}$ when $x = -1$, what is the value of $y$ when $x = 1$?
- $\frac{1}{50}$
- $\frac{2}{3}$ (correct)
- $-\frac{1}{50}$
- $-\frac{2}{3}$
If $y$ varies directly as $x$ and $y = -50$ when $x = 10$, what is the value of $y$ when $x = 9$?
If $y$ varies directly as $x$ and $y = -50$ when $x = 10$, what is the value of $y$ when $x = 9$?
$y$ is known to vary directly as $x$. When $x = 10$, $y = \frac{25}{2}$. What is the value of $y$ when $x = 13$?
$y$ is known to vary directly as $x$. When $x = 10$, $y = \frac{25}{2}$. What is the value of $y$ when $x = 13$?
$y$ is known to vary directly as $x$. When $x = 7$, $y = -7$. What is the value of $y$ when $x = 10$?
$y$ is known to vary directly as $x$. When $x = 7$, $y = -7$. What is the value of $y$ when $x = 10$?
$y$ is known to vary directly as $x$. When $x = -4$, $y = 20$. What is the value of $y$ when $x = -6$?
$y$ is known to vary directly as $x$. When $x = -4$, $y = 20$. What is the value of $y$ when $x = -6$?
If $y$ varies directly as $x$ and $y = -18$ when $x = -6$, for what value of $x$ is $y = -9$?
If $y$ varies directly as $x$ and $y = -18$ when $x = -6$, for what value of $x$ is $y = -9$?
If $y$ varies directly as $x$ and $y = \frac{3}{2}$ when $x = 6$, for what value of $x$ is $y = 2$?
If $y$ varies directly as $x$ and $y = \frac{3}{2}$ when $x = 6$, for what value of $x$ is $y = 2$?
If $y$ varies directly as $x$ and $y = 1$ when $x = 5$, for what value of $x$ is $y = \frac{7}{5}$?
If $y$ varies directly as $x$ and $y = 1$ when $x = 5$, for what value of $x$ is $y = \frac{7}{5}$?
If $y$ varies directly as $x$ and $y = \frac{18}{5}$ when $x = 6$, for what value of $x$ is $y = \frac{24}{5}$?
If $y$ varies directly as $x$ and $y = \frac{18}{5}$ when $x = 6$, for what value of $x$ is $y = \frac{24}{5}$?
$y$ is directly proportional to $x$ and $y = 2$ when $x = 2$. For what value of $y$ is $x = 5$?
$y$ is directly proportional to $x$ and $y = 2$ when $x = 2$. For what value of $y$ is $x = 5$?
$y$ is directly proportional to $x$ and $y = -\frac{35}{4}$ when $x = -7$. For what value of $y$ is $x = -10$?
$y$ is directly proportional to $x$ and $y = -\frac{35}{4}$ when $x = -7$. For what value of $y$ is $x = -10$?
$y$ is directly proportional to $x$ and $y = -20$ when $x = -8$. For what value of $y$ is $x = -7$?
$y$ is directly proportional to $x$ and $y = -20$ when $x = -8$. For what value of $y$ is $x = -7$?
$y$ is directly proportional to $x$ and $y = \frac{8}{3}$ when $x = 4$. For what value of $y$ is $x = 5$?
$y$ is directly proportional to $x$ and $y = \frac{8}{3}$ when $x = 4$. For what value of $y$ is $x = 5$?
Flashcards
Direct Variation
Direct Variation
A relationship where one variable changes directly with another; y = kx
Constant of Variation
Constant of Variation
The constant 'k' in the direct variation equation y = kx.
Value of y when x=5?
Value of y when x=5?
y = 10 when x = 5 given y varies directly as x and y=6 when x=3
Value of y when x=3?
Value of y when x=3?
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Value of y when x=6?
Value of y when x=6?
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Value of y when x=1?
Value of y when x=1?
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Value of y when x=7?
Value of y when x=7?
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Value of y when x=9?
Value of y when x=9?
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Value of y when x=-8?
Value of y when x=-8?
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Value of y when x = 13?
Value of y when x = 13?
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Value of y when x=11?
Value of y when x=11?
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Value of y when x = 10?
Value of y when x = 10?
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Value of y when x = 2?
Value of y when x = 2?
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Value of y when x= -6?
Value of y when x= -6?
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Value of y when x = 1?
Value of y when x = 1?
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Value of y when x = 7?
Value of y when x = 7?
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Value of x when y = -9?
Value of x when y = -9?
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What is Value of x when y=2?
What is Value of x when y=2?
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Value of x when y=?
Value of x when y=?
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what is Value of x when y=?
what is Value of x when y=?
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Value of x when y=?
Value of x when y=?
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What is Value of x when y= ?
What is Value of x when y= ?
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What is Value of when x = 5?
What is Value of when x = 5?
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What is Value of when x = 10?
What is Value of when x = 10?
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What is Value of when x = -10?
What is Value of when x = -10?
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What is Value of when x = 8
What is Value of when x = 8
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What is Value of when x = -1
What is Value of when x = -1
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What is Value of when x = 5 value?
What is Value of when x = 5 value?
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when x = -8. proportional to x and y = -20 .
when x = -8. proportional to x and y = -20 .
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when x = 4 8/3?
when x = 4 8/3?
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when x = 8.y = 24/5?
when x = 8.y = 24/5?
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Study Notes
Direct Variation Problems
- If y varies directly as x and y = 6 when x = 3, the value of y when x = 5 is 10.
- If y varies directly as x and y = -5 when x = 5, the value of y when x = 3 is -3.
- If y varies directly as x and y = 36/5 when x = 9, the value of y when x = 6 is 24/5.
- If y varies directly as x and y = -2/3 when x = -1, the value of y when x = 1 is 2/3.
- If y varies directly as x and y = 20 when x = 4, the value of y when x = 7 is 35.
- If y varies directly as x and y = -50 when x = 10, the value of y when x = 9 is -45.
- If y varies directly as x and y = -10 when x = -6, the value of y when x = -8 is -40/3.
- y varies directly as x, when x = 10, y = 25/2. Find y when x = 13, which is 65/4.
- y varies directly as x, when x = 10, y = -15/2. Find y when x = 11, which is -33/4.
- y varies directly as x, when x = 7, y = -7. Find y when x = 10, which is -10.
- y varies directly as x, when x = 1, y = 4. Find y when x = 2, which is 8.
- y varies directly as x, when x = -4, y = 20. Find y when x = -6, which is 30.
- y varies directly as x, when x = -2, y = -3. Find y when x = 1, which is 3/2.
- y varies directly as x, when x = 4, y = -2. Find y when x = 7, which is -7/2.
- If y varies directly as x and y = -18 when x = -6, the value of x when y = -9 is -3.
- If y varies directly as x and y = 3/2 when x = 6, the value of x when y = 2 is 8.
- If y varies directly as x and y = 1 when x = 5, the value of x when y = 11/2 is 7.
- If y varies directly as x and y = -18/5 when x = 6, the value of x when y = 24/5 is 8.
- If y varies directly as x and y = 24/5 when x = 8, the value of x when y = 27/5 is 9.
- If y varies directly as x and y = 5 when x = −4, the value of x when y = 7/4 is -1.
- y is directly proportional to x and y = 2 when x = 2, the value of y when x = 5 is 5.
- y is directly proportional to x and y = 27 when x = 9, the value of y when x = 10 is 30.
- y is directly proportional to x and y = -35/4 when x = -7, the value of y when x = -10 is 25/2.
- y is directly proportional to x and y = 25 when x = 5, the value of y when x = 8 is 40.
- y is directly proportional to x and y = -5/8 when x = 2, the value of y when x = -1 is 5/8.
- y is directly proportional to x and y = 14 when x = 7, the value of y when x = 5 is 10
- y is directly proportional to x and y = -20 when x = -8, the value of y when x = -7 is -35/2.
- y is directly proportional to x and y = 8/3 when x = 4, the value of y when x = 5 is 10/3.
- y is directly proportional to x and y = 24/5 when x = 8, the value of y when x = 6 is 18/5.
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