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Questions and Answers
If $w$ varies directly as $v$, and $w = 24$ when $v = 6$, find $w$ when $v = 2$.
If $w$ varies directly as $v$, and $w = 24$ when $v = 6$, find $w$ when $v = 2$.
- 2
- 12
- 4
- 8 (correct)
What is the graph of a direct variation equation?
What is the graph of a direct variation equation?
- A horizontal line
- A straight line passing through the origin (correct)
- A hyperbola
- A parabola
If $p$ varies directly as $q$, which statement is true?
If $p$ varies directly as $q$, which statement is true?
- When $p$ increases, $q$ decreases.
- When $p$ increases, $q$ increases. (correct)
- When $p$ is zero, $q$ is one.
- $p$ and $q$ are unrelated.
If $y$ varies directly as $x$, with $k = 3$, what is $y$ if $x = -2$?
If $y$ varies directly as $x$, with $k = 3$, what is $y$ if $x = -2$?
What happens to the value of $y$ when $x$ is doubled in the equation $y = kx$?
What happens to the value of $y$ when $x$ is doubled in the equation $y = kx$?
Which constant represents the ratio between two directly varying quantities?
Which constant represents the ratio between two directly varying quantities?
If $y$ varies directly as $x$, which is the correct statement?
If $y$ varies directly as $x$, which is the correct statement?
What would a graph of direct variation look like?
What would a graph of direct variation look like?
In a direct variation, the equation can be represented as $y = kx$, where $k$ is the [blank].
In a direct variation, the equation can be represented as $y = kx$, where $k$ is the [blank].
Flashcards
Direct Variation Equation
Direct Variation Equation
When y varies directly as x, it means y = kx, where k is the constant of variation.
Finding the Constant of Variation
Finding the Constant of Variation
Given y = 6 when x = 3, substitute these values into y = kx to solve for k. 6 = k * 3, so k = 2.
Finding y When x = 5
Finding y When x = 5
Now that you know k = 2, use the direct variation equation y = 2x to find y when x = 5. y = 2 * 5 = 10.
Study Notes
Direct Variation Problem
- Determine the value of y when x = 5, given that y varies directly as x and y = 6 when x = 3.
- Potential answers include -10, -5/36, 10, and 5/36.
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