146 Chapter 2 Linear Equations and Inequalities 45. Deon purchased a house and sold it for a 24% profit. If he sold the house for $260,400, what was the original purchase price? 46. To meet the rising cost of energy, the yearly membership at a YMCA had to be increased by 12.5% from the past year.The yearly membership fee is currently $450.What was the cost of membership last year? 47. Alina earns $1600 per month plus a 12% commission on pharmaceutical sales. If she sold $25,000 in pharmaceuticals one month, what was her salary that month? 48. Dan sold a beachfront home for $650,000. If his commission rate is 4%, what did he earn in commission? 49. Diane sells women’s sportswear at a department store. She earns a regular salary and, as a bonus, she receives a commission of 4% on all sales over $200. If Diane earned an extra $25.80 last week in commission, how much merchandise did she sell over $200? 50. For selling software,Tom received a bonus commission based on sales over $500. If he received $180 in commission for selling a total of $2300 worth of software, what is his commission rate? Section 2.6 Formulas and Applications of Geometry 1. Literal Equations and Formulas A literal equation is an equation that has more than one variable.A formula is a literal equation with a specific application. For example, the perimeter of a triangle (distance around the triangle) can be found by the formula where a, b, and c are the lengths of the sides (Figure 2-7). a 5 ft b 7 ft P a b c c 8 ft 5 ft 7 ft 8 ft 20 ft Figure 2-7 P a b c, In this section, we will learn how to rewrite formulas to solve for a different variable within the formula. Suppose, for example, that the perimeter of a triangle is known and two of the sides are known (say, sides a and b). Then the third side, c, can be found by subtracting the lengths of the known sides from the perimeter (Figure 2-8). Concepts 1. Literal Equations and Formulas 2. Geometry Applications
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