Slide 1

What value is in the solution set for this equation?

A.12B.27C. -12D. -27

Thursday: October 14 - 18Daily Word Problems23. Using Rates in EquationsNaomi purchased 30 postage stamps, some for letters and others for postcards. The stamps for letters cost $0.41 each. The stamps for postcards are $0.26 each. If Naomi purchased x postcard stamps, write an equation for the total cost of stamps, c.Cost = rate 1 (x) + rate 2 (total x)Answer: c = 0.26 x + 0.41 (30 x)34. Percentage ProblemRoger wants to buy a computer priced at $1,250. If sales tax is 7.5%, how much will he pay of the computer once the sales tax is added?Total = purchase price + sales taxAnswer: Total = 1250 + 0.075(1250)Total = 1343.75 4Word ProblemsPages 145 - 151Inequalities5Clue Words for Inequalities pg 145ComparisonSymbolWordsGreater than>Greater thanMore thangreatestLess than

Greater than or equal toAt leastNo less thanLess than or equal to x + 4Solution {x: x > 4}Translate and solve.One-eighth of a number decreased by five is at least thirty.Translation: (1/8)x 5 > 30Solution {x: x > 280}Translate and solve.Negative four times a number plus nine is no more than the number minus twenty-one.Translation: -4n + 9 < n - 21Solution {n: n > 6}Example 1Keshas mother has said that she can put no more than $100 on her credit card to rent a car. If the car rental company charges a flat rate of $25 plus $0.10 per mile, what is the greatest distance the girls can travel?Flat rate plus charge per mile is no more than Maximum chargeSet up: 25 + 0.10d < 10011Example 2A customer wants a barrel with a diameter of 3 feet and a volume of at least 35 cubic feet. What is the smallest height that can be used with this diameter to make the barrel?Volume is at least 35 feetSet up: (3.14)(1.5)2(h) > 35Set up: pi (r2) (h) > 3512Example 3The video game offers a 10% discount on each game you buy when you purchase a $10 discount card. Without the discount card, the average cost of a game in the store is $18.90. What is the minimum number of games you would have to buy to save money with the card?Total discount is greater than cost of discount cardSet up: 1.89g > 10Must calculate average discount13Practice #1Darren wants to make a rectangular vegetable garden in his backyard. He would like the total area to be at least 200 sq ft. One of the sides must measure 12 ft. What dimensions can he make the other side?Area is at least 200 sq ftSet up: (length)(width) > 20014Page 147 148 ALLTop blank is for the inequalityBottom blank is for the answerHints:#2 no more than#3 cannot spend more than#4 similar to Example 1#5 and #6 similar to Example 3