201,900 km2 3 4 60. The difference of a number and is the same as 18 11 12 7 16 13 24 Applications Involving Percents Section 2.5 1. Solving Basic Percent Equations Recall from Section R.3 that the word percent means “per hundred.” For example: Percent Interpretation 63% of homes have a computer 63 out of 100 homes have a computer. 5% sales tax 5¢ in tax is charged for every 100¢ in merchandise. 15% commission $15 is earned in commission for every $100 sold. Percents come up in a variety of applications in day-to-day life. Many such applications follow the basic percent equation: Amount (percent)(base) Basic percent equation In Example 1, we apply the basic percent equation to compute sales tax. Computing Sales Tax Example 1 A new digital camera costs $429.95. a. Compute the sales tax if the tax rate is 4%. b. Determine the total cost, including tax. Solution: Step 1: Read the problem. a. Let x represent the amount of tax. Step 2: Label the unknown. Apply the percent equation to compute sales tax. Amount (percent) (base) Step 3: Write a verbal model. Sales tax (tax rate)(price of merchandise) Section 2.5 Applications Involving Percents 157 Concepts 1. Solving Basic Percent Equations 2. Applications Involving Simple Interest 3. Applications Involving Discount and Markup 16 Classroom Example: p. 161, Exercise 18 Answers 1. The amount of tax is $5.34. 2. The total cost is $94.34. 57. The deepest point in the Pacific Ocean is 676 m more than twice the deepest point in the Arctic Ocean. If the deepest point in the Pacific is 10,920 m, how many meters is the deepest point in the Arctic Ocean? The deepest point in the Arctic Ocean is 5122 m. 58. The area of Greenland is less than three times the area of New Guinea.What is the area of New Guinea if the area of Greenland is 2,175,600 km2? The area of New Guinea is 792,500 km2. 59. The sum of twice a number and is the same as the difference of four times the number and . Find the number. the difference of three times the number and . Find the number. 61. The product of a number and 3.86 is equal to 7.15 more than the number. Find the number. The number is 2.5. 62. The product of a number and 4.6 is 33.12 less than the number. Find the number. The number is 9.2. The number is . The number is . Skill Practice 1. Find the amount of tax on a portable CD player that sells for $89. Assume the tax rate is 6%. 2. Find the total cost including tax. Writing Translating Expression Geometry Scientific Calculator Video
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