Question

direct and indirect variation example
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Answer 1

Step-by-step explanation:

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${ \huge {\underline {\underline {\mathtt {\red{Direct \: Variation}}}}}}$

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.

Example

if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

${ \huge {\underline {\underline {\mathtt {\red{Indirect \: Variation}}}}}}$

When two variables change in inverse proportion it is called as indirect variation. In indirect variation one variable is constant times inverse of other. If one variable increases other will decrease, if one decrease other will also increase. This means that the variables change in a same ratio but inversely.

Example

For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y =

Answer 2

*Answer:

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Examples of Direct variations:

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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.

Examples of Indirect variations:

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There are many situations in our daily lives that involve inverse variation (indirect variation). For example, the number of days required to build a bridge is varies inversely to the number of workers. As the number of workers increases, the number of days required to build would decrease.

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