(a) Explanation Given information: The person’s pay check P varies directly as the number H of hours worked, The values H = 15 hr and P = $ 180 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. Steps to solve the applications of direct variation: Step 1: Identify the direct variation between the variables, x and y . Step 2: Translate the expression into direct variation equation of the form, y = k x where k is constant. Step 3: Determine the value of constant, k and with the help of this, determine the direct variation equation. Calculation: According to the expression, a person’s pay check P varies directly as the number H of hours worked. P = k H Thus, for any value of H , the value of P will be its k times (b) To determine To calculate: The pay of a person for 35 hr of work, if a person’s pay check P varies directly as the number H of hours worked, and for working 15 hr the pay is $ 180 .

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12.9, Problem 9ES

(a)

To determine

To calculate: An equation of the variation if a person’s paycheck P varies directly as the number of hours H worked, and for working 15 hr the pay is $180.

(b)

To determine

To calculate: The pay of a person for 35 hr of work, if a person’s pay check P varies directly as the number H of hours worked, and for working 15 hr the pay is $180.

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Chapter 12.9, Problem 8ES

Chapter 12.9, Problem 10ES

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An equation of the variation if a person’s paycheck P varies directly as the number of hours H worked, and for working 15 hr the pay is $ 180 .

Solution Summary: The author explains how to calculate a direct variation equation based on the person's pay check P varies as the number of hours worked.