Direct Variation
Direct variation stands as a fundamental concept in mathematics, highlighting the straightforward relationship between two variables. In this mathematical model, as one quantity changes, the other follows suit in a consistent and proportional manner. The simplicity of direct variation lies in its linear nature, where the graph of such relationships forms a straight line passing through the origin. Understanding direct variation is crucial in various fields, providing a concise and predictable framework to analyze and interpret real-world scenarios, making it an indispensable tool in mathematical applications and problem-solving.
Questions
- The variables x=5/2 and y=5/4 varies directly. How do you write an equation that relates the variables and find x when y=-5?
- How do you write the direct variation equation if y=4 when x=16, find y when x=6?
- How do you find the constant of variation, and write an equation of direct variation that relates the two variables y= -10, for x=2?
- What kind of variation is #x/y=c#?
- How do you determine whether the equation #7x + 2y = 0# represents a direct variation and if it does, how do you find the constant of variation?
- Is 3y=9x a direct variation and if so, what is the constant?
- Is #5y = -4x# a direct variation and if it is, how do you find the constant?
- Given that y varies directly with x, and x = 5, y = -30, how do you write a direct variation equation that relates x and y?
- Is #5y=-4x# a direct variation equation and if so, what is the constant of variation?
- Is # y=2x# a direct variation equation and if so what is the constant?
- If y varies directly as x and #y=28# and #x=18#, how do you find y when #x = 9#?
- Is y=3x a direct variation and if so, what is the constant?
- Given y varies directly with x, write the equation of the line when x=3 and y=-12?
- How do you find the variation constant and an equation of variation where y varies directly as x and y = 2.52 when x = 8.4?
- Is #3y-7=10x# a direct variation equation and if so what is the constant?
- Is #y-6x=0# a direct variation and if it is, how do you find the constant?
- How do you determine if a function is a direct variation when given a table?
- Is #-3x+2y=0# a direct variation equation and if so, what is the constant of variation?
- How do you determine the constant of variation for the direct variation given #2x - y=0#?
- If y varies directly with x, and If y = 4 when x = 12, how do you find y when x = -24?