Explanation Given information: The values of y = 630 when x = 175 and y varies directly as x . Formula used: Direct Variation: A situation translated to an equation with a constant k , expressed in the below form is said as direct variation, y = k x This equation is known as direct variation equation, where y varies directly as x . Variation constant or the constant of proportionality, k , would be determined when one pair of the values of x and y are known, and this further would determine the other pairs. Calculation: According to the expression, an equation of variation in which y varies directly as x , the direct variation equation will be, y = k x Substitute the values of x = 175 and y = 630 in the above equation, 630 = k ⋅ 175 Simplify the equation to solve for k , k = 630 175 = 3

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ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 12.9, Problem 5ES

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To calculate: The value of y when x=20 and an equation of variation in which y varies directly as x, and y=630 when x=175.

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Chapter 12.9, Problem 4ES

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Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The value of y when x = 20 and an equation of variation in which y varies directly as x , and y = 630 when x = 175 .

Solution Summary: The author explains the direct variation equation, where y varies directly as x, and the constant of proportionality, k, determines the other pairs.

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To calculate: The value of y when x=20 and an equation of variation in which y varies directly as x, and y=630 when x=175.

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