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Thursday:. What value is in the solution set for this equation? A. 12 B.27 C. -12 D. -27. Daily Word Problems. October 14 - 18. 3. Using Rates in Equations. Cost = rate 1 (x) + rate 2 (total – x).
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Thursday: What value is in the solution set for this equation? A. 12 B.27 C. -12 D. -27
Daily Word Problems October 14 - 18
3. Using Rates in Equations Cost = rate 1 (x) + rate 2 (total – x) Naomi 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. Answer: c = 0.26 x + 0.41 (30 – x)
4. Percentage Problem Total = purchase price + sales tax Roger 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? Answer: Total = 1250 + 0.075(1250) Total = 1343.75
Inequalities Word Problems Pages 145 - 151
Translate and solve. Twice a number is more than the sum of that number and 14. • Translation: 2x > x + 4 • Solution {x: x > 4}
Translate and solve. One-eighth of a number decreased by five is at least thirty. • Translation: (1/8)x – 5 > 30 • Solution {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 - 21 • Solution {n: n > 6}
Example 1 Flat rate plus charge per mile is no more than Maximum charge Kesha’s 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? Set up: 25 + 0.10d < 100
Example 2 Volume is at least 35 feet A 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? Set up: pi (r2) (h) > 35 Set up: (3.14)(1.5)2(h) > 35
Total discount is greater than cost of discount card Example 3 The 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? Set up: 1.89g > 10 Must calculate average discount
Practice #1 Area is at least 200 sqft Darren 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? Set up: (length)(width) > 200
Page 147 – 148 ALL • Top blank is for the inequality • Bottom blank is for the answer • Hints: • #2 no more than • #3 cannot spend more than • #4 similar to Example 1 • #5 and #6 similar to Example 3