HW #15- Enriched

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Review

Solve each inequality.

1. a+ 4 9 2. e - 7 1

3. n- 9 ≥ 54. 5 ≤ q + 12

Solve each inequality. Graph the solution set on a number line.

5. 3v 126. 1 ≤

7. b- 3 ≤ -88. 12 3X - 6

Word Problems

1. CLOTHING Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.

2.SAVINGS Tameca already has $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account. Interpret the solution.

3. COMMISSION Manuel earns $400 per week plus a 3% commission on everything he sells. Write and solve an inequality to find out how much he must sell to have a weekly income of at least $700. Interpret the solution.

4. CARS Remington needs at least $3,000 to buy a used car. He already has $1,800. If he saves $50 per week, write and solve an inequality to find out how many weeks he must save to buy the car. Interpret the solution.

5. POSTCARDS Latrell has $8 to spend on postcards. He wants to buy one large postcard and some small ones. Write and solve an inequality to find out how many small postcards Latrell can purchase. Interpret the solution.

6. CARRIAGE RIDE You want to spend at most $12 on a carriage ride. The driver tells you there is an initial charge of $5 plus $0.50 per mile. Write and solve an inequality to find out how many miles you can ride. Interpret the solution.

7. BAKING Corey has 16 cups of flour to make cookies. One batch of cookies takes cups of flour. If he must save 6 cups of flour for other baking, write and solve an inequality to find out how many batches of cookies he can make. Interpret the solution.

8. ENTERTAINMENT Sylvia needs at least $310 for a new audio system. She has already saved $120. She earns $10 per hour at her part-time job. Write and solve an inequality to find how many hours she will need to work to buy the system. Interpret the solution.

______

Circumference

Find the radius or diameter of each circle with the given dimensions.

1. d= 18 in. 2. d= 29 m 3. r = 21 ft

Find the circumference of each circle. Use 3.14 or for π. Round to the nearest tenth if necessary.

4. 5.

6. 7.

8. r= 42 cm9. d = 31 m

10. PLANTS The world’s largest flower, the Giant Rafflesia, is 91 centimeters in diameter. Use a calculator to find the circumference of a Giant Rafflesia to the nearest tenth.

11. GEOLOGY Ubehebe Crater in Death Valley has a diameter of a little more than 1 –2 mile. If Latisha walks around its rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your answer to the nearest tenth. Use 3.14 for π.

AUDIO MEDIA For Exercises 12–14, use the table that shows the sizes of three mainaudio media: vinyl, CD, and mini-disc.

12. Find the circumference of a CD. Use3.14 for π.

13. When a record player needle is placedon the outside edge of a vinyl disc, findhow far the needle travels in onerotation. Use 3.14 for π. Round to thenearest tenth.

14. What is the difference between thecircumference of a vinyl disc and amini-disc? Use 3.14 for π. Round to thenearest tenth.

Area of Circles

Find the area of each circle. Round to the nearest tenth.Use 3.14 or for π.

1. 2.

3. diameter= 9.4 mm`4. radius= 8 in.

Find the area of each semicircle. Round to the nearest tenth.Use 3.14 for π.

5. 6.

7. SPOTLIGHT A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is the maximum area that can be effectively lit by the spotlight?

8. ARCHERY The bull’s eye on an archery target has a radius of 3 inches. The entire target has a radius of 9 inches. To the nearest tenth, find the area of the target outside of the bull’s eye.

9. DRUMS What is the area of thedrumhead on the drum shown below?Round to the nearest tenth.

10. PIZZA Estimate the area of the top of around pizza that has a diameter of16 inches. Round to the nearest tenth.