Introduction to learn direct variation:
If two quantities vary always in the same ratio, then they are in direct variation. We use the term direct variation to explain how one variable is depending on the other. A line that crosses the origin, whose equation in the form of a direct variation, x increases or decreases directly as y increases or decreases. I like to share this Algebra Direct Variation with you all through my article.
Learn Definition of direct variation:
The two variables are said to be in direct variation, if the ratio values between the two variables are always the same.
That is, if x is always four times as much as y, then they vary directly.
If two quantities vary always in the same ratio, then they are in direct variation.
Learn Expressing Direct variation as an Equation:
The equation a/b = 7 states that a "varies directly as" b since the ratio of a to b (also written a : b ) never changes. The number 7 in the equation a/b = 7 is called the constant of variation. The equation a/b = 7 can also be written in the equivalent form, a = 7b. That form shows you that a is always 7 times as much as b.
a/b = 7
a = 7b.
Examples of Direct Variation:
A pencil costs dollar one. what will be the cost of 5 pencil, 10 pencils, 12 pencils.
If one pencil costs one dollar, then cost of 5 pencils is 5 dollars.
Cost of 10 pencils is ten dollars, and the cost of 12 pencils is 12 dollars.
That is, 1 / 1 = 5 / 5 = 10 / 10 = 12 / 12.
If the number of pencils increases, then the cost also increases. Therefore, they are in direct variation.
Examples:
Quantity and time are in direct variation.
Number of items purchased and amount paid are in direct variation.
Time and distance are in direct variation.
If two quantities vary always in the same ratio, then they are in direct variation. We use the term direct variation to explain how one variable is depending on the other. A line that crosses the origin, whose equation in the form of a direct variation, x increases or decreases directly as y increases or decreases. I like to share this Algebra Direct Variation with you all through my article.
Learn Definition of direct variation:
The two variables are said to be in direct variation, if the ratio values between the two variables are always the same.
That is, if x is always four times as much as y, then they vary directly.
If two quantities vary always in the same ratio, then they are in direct variation.
Learn Expressing Direct variation as an Equation:
The equation a/b = 7 states that a "varies directly as" b since the ratio of a to b (also written a : b ) never changes. The number 7 in the equation a/b = 7 is called the constant of variation. The equation a/b = 7 can also be written in the equivalent form, a = 7b. That form shows you that a is always 7 times as much as b.
a/b = 7
a = 7b.
Examples of Direct Variation:
A pencil costs dollar one. what will be the cost of 5 pencil, 10 pencils, 12 pencils.
If one pencil costs one dollar, then cost of 5 pencils is 5 dollars.
Cost of 10 pencils is ten dollars, and the cost of 12 pencils is 12 dollars.
That is, 1 / 1 = 5 / 5 = 10 / 10 = 12 / 12.
If the number of pencils increases, then the cost also increases. Therefore, they are in direct variation.
Examples:
Quantity and time are in direct variation.
Number of items purchased and amount paid are in direct variation.
Time and distance are in direct variation.
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