Which of the following is an example of a direct variation?
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Which of the following is an example of a direct variation?
Some examples of direct variation problems in real life: The number of hours you work and the amount of your paycheck. The amount of weight on a spring and the distance the spring will stretch. The speed of a car and the distance traveled in a certain amount of time.
What equation represents a direct variation?
y = kx
A direct-variation relationship can be represented with an equation of the form y = kx, where k is the constant of variation. Because a direct variation is a proportional relationship, using an equation is an alternate strategy for solving a proportion.
What is direct variation in a table?
Tables can be used to write direct variation equations. You divide y by x and get the same value, which will become k. For example, in the direct variation table above, each time you divide y by x, you should get 8. This means that 8 is the constant and that each time x increases by 1, y increases by 8.
Which type of variation exhibits the property that the product of the related quantities is constant?
If variables vary directly, their quotient is constant; if variables vary inversely, their product is constant. In direct variation, as one variable increases, so too does the other; in inverse variation, as one variable increases, the other decreases.
How do you identify direct and indirect variation?
For direct variation, use the equation y = kx, where k is the constant of proportionality. For inverse variation, use the equation y = k/x, again, with k as the constant of proportionality. Remember that these problems might use the word ‘proportion’ instead of ‘variation,’ but it means the same thing.
What kind of variation is direct?
Direct Variation: In a variation if variables change proportionately i.e. either increase or decrease together then it is called as direct variation. If X is in direct variation with Y, it can be symbolically written as X α Y.
What are direct variations?
Definition of direct variation 1 : mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. 2 : an equation or function expressing direct variation — compare inverse variation.
What are the types of direct variation?
Direct, Inverse, Joint and Combined Variation
| Type of Variation | Formula |
|---|---|
| Direct or Proportional Variation | y=kx or \displaystyle \frac{{{{y}_{1}}}}{{{{x}_{1}}}}=\frac{{{{y}_{2}}}}{{{{x}_{2}}}} |
| Inverse or Indirect Variation | \displaystyle y=\frac{k}{x} or xy=k |
What equation represents indirect variation?
An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .