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As for example in the straight line equation: y = 3x+5 the y intercept is 5 and the slope or gradient is 3
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Is the problem y equals 3x a direct variation if so what is the constant of variation?
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
Can a system of two direct variation equations have no solutions?
No. The origin must be a solution for any direct variation.
Can ax plus by equals c be a direct variation if a and b and c does not equal 0?
No, direct variation is "y=ax." In direct variation a equals any real constant, b=1, and c must equal zero. If any of thee conditions are changed, it is not direct variation.
Which of the following represents a direct variation function?
Any function of the form Y = cX where X and Y are variables and c is a constant.
What of an equation is any value that makes the equation true?
Such an equation is called an IDENTITY.
Is the problem y equals 3x a direct variation if so what is the constant of variation?
y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9
Can a system of two direct variation equations have no solutions?
No. The origin must be a solution for any direct variation.
Can ax plus by equals c be a direct variation if a and b and c does not equal 0?
No, direct variation is "y=ax." In direct variation a equals any real constant, b=1, and c must equal zero. If any of thee conditions are changed, it is not direct variation.
Are these ordered pairs in direct variation -1 0 3 2 9 6?
No. For direct variation, any order pair with a 0 in it MUST be (0,0).
What is the difference between direct variation and inverse variation?
Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .
Does the equation 6y equals 18x represent a direct variation?
Yes. 6y = 18x can be cancelled down to y = 3x. If drawn on a graph, the gradient of the straight line at any given point would be 3. The line also crosses the point (0, 0) [the origin]
Which of the following represents a direct variation function?
Any function of the form Y = cX where X and Y are variables and c is a constant.
Is y equals 2x-9 a direct variation?
11
How much amp makes 1 kilo volt?
Amp, Amperes is current. Volt, and any variation, is tension. There's no direct translation between them.
Is it true that all direct costs are variable costs?
All variable costs are those costs which vary with the variation in the volume of production as well as direct costs are those costs which are directly attributable to any specific unit of product so it may be accepted that all direct costs are variable costs but fixed costs may also be direct cost.
Which variation is very sensitive to extreme values?
Any variation is very sensitive to extreme values!
How can you find the unit rate or constant of proportionality in a table?
If the relationship between two variables in a table is that of direct variation, then the unit rate or the constant of proportionality is determined by dividing any non-zero value of one of the variables by the corresponding value of the other variable.
