By Soo T. Tan
A conventional publication with a latest consider, market-leading utilized arithmetic FOR THE MANAGERIAL, lifestyles, AND SOCIAL SCIENCES, 7th version, teaches by way of program and makes use of real-world examples to encourage scholars. It combines sturdy thought with leading edge expertise, incorporates a powerful complement package deal, and provides unrivaled flexibility that caters to either conventional and smooth practitioners. available for majors and non-majors alike, the 7th version makes use of an intuitive procedure that marries real-life situations to what might rather be summary ideas. this is often the focal point of the insightful Portfolios, which spotlight the careers of genuine humans and talk about how they use math of their professions. a variety of routines make sure that scholars have a superior figuring out of thoughts ahead of advancing to the subsequent subject. through providing a robust array of vitamins corresponding to more advantageous WebAssign, the 7th version allows scholars to maximise their research time and reach category.
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Additional info for Applied Mathematics for the Managerial, Life, and Social Sciences
Y (– 2, 5) 6 (3, 5) L 4 2 FIGURE 17 The slope of the horizontal line L is zero. x –2 Note 2 4 In general, the slope of a horizontal line is zero. We can use the slope of a straight line to determine whether a line is parallel to another line. Parallel Lines Two distinct lines are parallel if and only if their slopes are equal or their slopes are undefined. EXAMPLE 4 Let L1 be a line that passes through the points (Ϫ2, 9) and (1, 3) and let L2 be the line that passes through the points (Ϫ4, 10) and (3, Ϫ4).
B. What are the slope and the y-intercept of the line found in part (a)? c. Give an interpretation of the slope and the y-intercept of the line found in part (a). d. If the utilization of nuclear power continues to grow at the same rate and the total capacity of nuclear plants in the United States remains constant, by what year can the plants be expected to be generating at maximum capacity? Source: Nuclear Energy Institute 70. 65% of the employee’s wages. a. Find an equation that expresses the relationship between the wages earned (x) and the Social Security taxes paid ( y) by an employee who earns less than the maximum taxable wage base.
FIGURE 13 y m = –2 m = –1 m=– m=2 1 2 m=1 m = 12 x FIGURE 14 A family of straight lines (b) The line falls (m Ͻ 0). measure of the rate of change of y with respect to x. Furthermore, the slope of a nonvertical straight line is constant, and this tells us that this rate of change is constant. Figure 13a shows a straight line L1 with slope 2. Observe that L1 has the property that a 1-unit increase in x results in a 2-unit increase in y. To see this, let ⌬ x ϭ 1 in Equation (3) so that m ϭ ⌬y. Since m ϭ 2, we conclude that ⌬y ϭ 2.