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Name Date Direct Variation Two quantities x and y show direct variation when y km, where k is a number and k 0. The number k is called the constant of proportionality. Y 2 The graph of y km is a line
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How to fill out direct variation:

01
Start by understanding the concept of direct variation. Direct variation is a mathematical relationship between two variables in which one variable increases or decreases proportionally with the other variable.
02
Identify the given information. Determine the values or relationships of the variables in the problem. For example, if you are given the equation y = kx, where y and x are variables and k is a constant, identify the values of y and x.
03
Use the given information to find the constant of variation. The constant of variation, represented by k in the equation y = kx, is the ratio of the two variables. To find the constant, divide the value of y by the value of x.
04
Substitute the value of the constant of variation back into the equation. Replace k with the obtained value in the direct variation equation. For example, if the constant of variation is 3, rewrite the equation as y = 3x.
05
Solve for the missing variable. If one variable is missing, use the direct variation equation to find its value. For instance, if x is missing and y = 12, divide 12 by 3 to find the value of x, which is 4.
06
Check your answer. Ensure that the values obtained satisfy the direct variation equation. Substitute the obtained values back into the equation and verify that both sides are equal.

Who needs direct variation?

01
Students studying mathematics and algebra: Direct variation is an essential concept in algebra courses, and students are expected to understand and apply it in various problem-solving scenarios.
02
Engineers and scientists: Direct variation is prevalent in engineering and scientific studies, where variables often exhibit proportionality. Understanding direct variation helps in analyzing relationships between different quantities accurately.
03
Economists and statisticians: Direct variation is also used in economics and statistics to study and model relationships between variables. Professionals in these fields utilize direct variation to interpret data and make predictions or forecasts.
In conclusion, understanding how to fill out direct variation is crucial for students studying mathematics, engineers, scientists, economists, and statisticians. Their respective fields often involve using direct variation to analyze and interpret data accurately.
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Direct variation is a mathematical relationship between two variables where one variable is a constant multiple of the other.
Direct variation is typically filed by individuals or businesses who have data that follows a direct variation pattern.
Direct variation can be filled out by analyzing the data and determining the constant of variation between the two variables.
The purpose of direct variation is to understand the relationship between two variables and make predictions based on this relationship.
On direct variation, the variables involved and the constant of variation must be reported.
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