1301 1.2_1.3 Estimation & Problem Solving UTA
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1301
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Mathematics
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Apr 3, 2024
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3/21/24, 11:44 PM 1.2/1.3 Estimation and Problem Solving (il iy Instructor: Florencio ficcfiemfisojslfzabeth Student: EENEREENNNEN Legault, Juan Siiva, Math Dept Assignment: 1.2/1.3 Estimation and Problem Date: 03/21/24 Course: 2242-MATH-1301-502- Solving CONTEMPORARY MATH Fill in the blank with an appropriate word. The process of arriving at an approximate answer to a question Is called The process of arriving at an approximate answer to a question is called estimation. 2. In a shop that sells a variety of nuts, the prices of some Items are as given below. tem | Cost/Ib Almonds $4.20 Walnuts $4.00 Cashews $4.60 Pecans $3.80 Raisins $3.40 If Sarah buys 2 Ib of cashews, 1 Ib of walnuts, and 2 Ib of ralsins, how much did she have to pay? A. $16.00 vB. $20.00 C. $27.40 D. $24.00 3. Estimate the percent of area that is shaded in the fallowing figure. A. 40% B. 25% vYec. 50% D. 80% https:/itdx.acs.pearsonprd.tech/api/vi/print/highered 1/6
3/21/24, 11:44 PM 1.2/1.3 Estimation and Problem Solving (NG 4. The circle graph to the right shows the percent of health Health Club Membership by Age club memberships, by age, in a certain country. A certain health club B 17 and younger 9% had 600 members in a racent year, Answer parts (a) through (c) W 18-34 32% assuming the graph also applies to this health club. @ 35-54 35% [0 56 plus 24% a) Estimate the number of health club members at this health club between the ages of 18 and 34. Choose the correct estimate below. A. 18 vB. 180 C. 60 D. 1800 b) Estimate the number of health club members at this health club who were age 17 and younger. Choose the correct estimate below. A. 180 B. 600 vec. 80 D. 6 c) Estimate the number of health club members at this health club who were in the age group 55 plus. Choose the correct estimate below. A. 15 B. 1500 vYc. 150 hitps:/ftdx.acs.paarsonprd.tech/apl/vi/print/highered 2/6
3/21/24, 11:44 PM 1.2/1.3 Estimation and Problem Soiving (NN 5. The bar graph shows population figures for 1900 and 2000 and & Population by Age estimated population figures for 2050. Answer parts (a) through (d) A: Under 5 years B below. 100 B: 5-24 c E . C:25-44 c B a) Estimate the number of people 65 and older in 1900, Choose the E 864 D_= 45-64 B | correct estimate below. ;] E: 65 and over e D 2 604 A. 40 million Fy § a0 g 3 B. 100 million K] A 2 C A v - 5 Lol Y C. 5 million x 2 W i D. 30 million b) Estimate the number of people 65 and older in 2050. Choose the correct estimate below. Y A. 100 million B. 110 million C. 40 million D. 90 million ¢) Estimate the increase in the number of people 65 and older from 2000 to 2050. Choose the correct estimate below. A. 100 million B. 5 million v'C. 60 million D. 40 million d) Estimate the total population in 2000 by adding the five categories. Choose the correct estimate below. A. 70 million B. 145 million C. 415 million ¥'D, 285 million https://tdx.acs.pearsonprd.tech/apiivi/print/highered 3/6
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3/21/24, 11:44 PM 1.2/1.3 Estimation and Problem Solving i 6. The govemment of a certain country owns land within the country. Percant of Land Owned The graph to the right shows the percent of land owned by the by the Govemnment government in 4 of the country's regions. Answer parts (a) gojP through (d) below. T 80+ a) Estimate the percent of land owned by the government in Region g A. Choose the correct estimate below. 7 70- [ A. 95% 5 2 60 vB. 85% 8 50+ C. 70% * D. 75% L | 8 & B Region b) Estimate the differance between Region B and Region D in the percent of land owned by the government. Choose the correct estimate below. VA 15% B. 50% C. 25% D. 65% ¢) Region A has a total area of 48,434,895 acres. Estimate the number of acres owned by the government In Region A. Choose the correct estimate below. A. 21,250,000 acres B. 4,250,000 acres ¥'€. 42,500,000 acres D. 8,500,000 acres d) By just looking at the graph, is it possible to determine whether the federal government owns more land in Region A or Region C? *A. No, we are not given the area of each region. XB. Yes, the government owns more land in region A. C. Yes, the government owns more land in region C. YOU ANSWERED: B. 7. Solve. On a map, 1 inch equals 12.8 miles. If two cities are 2.5 inches apart on the map, how far are they actually apart? The distance between the cities is 32 miles. (Type an integer or a decimal.) 8. At a given time of day, the ratio of the height of an object to the length of its shadow is the same for all abjects. If a 4-ft stick in the ground casts a shadow of 2.4 ft, find the height of a tree that casts a shadow that is 21.36 ft. The height of the tree is 356 ft. ‘ (Simplify your answer. Type an integer or a decimal.) https://tdx.acs.bearsonprd.tech/api/v1/print/highered 4/6
/ , 11:44 PM 1.2/1.3 Estimation and Problem Solving 4iiiiianse /Atelevision sells for $600. Instead of paying the total amount at the time of the purchase, the same television can be bought by paying $100 down and $50 a month for 14 months. How much is saved by paying the total amount at the time of the purchase? $ 200 is saved by paying the total amount at the time of purchase. 10. To get a B in math, Alexandria Pappas must average 80 on five tests, Scores on the flrst four tests were 80, 76, 83, and 79. What is the lowest score that stie can get on the last test and still get a B? The lowest possible score for getting a B Is 82 11. Adriver filled the gas tank and noted that the odometer read 19,874.5. After the next filling, the odometer read 20,105.5. It took 16.5 gal to fill the tank. How many miles per gallon did the driver get? The driver got 14 mpg. (Type a whole number or a decimal.) 12, Aplane is flying at an altitude of 17,000 ft, where the temperature is ~ 4°F. The nearby airport, at an altitude of 2000 ft, is reporting precipitation. If the temperature increases 2.6°F for every 1000-ft decrease in altitude, will the precipitation at the airport be rain or snow? Assume that rain changes to snow at 32°F. Is the precipitation at the airport rain or snow? X Snow * Rain YOU ANSWERED: Snow 13. Afaucet leaks 2 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128 oz.) b) If water costs $9.71 per 1000 gal, how much additional money is being spent on the water bill? a) 8212.5 gallons would be wasted in one year. (Type an integer or decimal rounded to the nearest hundredth as needed.) b) The water bill will cost an additional $§ 79.74 (Round to the nearest cent as needed.) YOU ANSWERED: 7974.34 14. With a certain medical insurance policy, the customer must first pay an annual $100 deductible, and then the policy covers 90% of the cost of x-rays. The first insurance claims for a specific year submitied by a person are for two x-rays. The first x-ray cost $620, and the second x-ray cost $930. How much, in total, will he nead to pay for these x-rays? He will be responsible for $ 245 15. {f the tength and width of a rectangle each change by a factor of seven, what happens to the area of the rectangle? The area is 49 times as large. 16. If the length, width, and height of a cube all change by a factor of seven, what happens to the volume of the cube? The volume is 343 times as large. How much do 10 pieces of candy cost if 1000 pieces cost $20? 10 pieces of candy cost $ 0.20 (Round to the nearest cent as needed.) https://idx.acs.pearsonprd.tech/apifvi/print/highered 5/6
3/21/24, 11:44 PM 1.2/1.3 Estimation and Problem Solving- Sy 18. Fill in the missing numbers along the sides of the triangle so that it contains each of the numbers from 3 through 11 exactly once. Furthermore, each side of the triangle should contain four numbers whose sum is 28. The pair of numbers that can be used for Aand B is 8, 10 , the pair of numbers that can be used for C and D is 4,6 , and the pair of numbers that can be used for E and F is 59 (Use a comma to separate answers as needed.) 19. Consider a domino with six dots as shown. Two ways of connecting the three dots on the left with the three dots on the right are o e s ilustrated. Using three lines, in e o —e % how many ways can the three s o —e dots on the left be connected with the three dots on the right? The three dots on the left can be connected with the three dots on the right in 6 ways. (Type a whole number.) 20. Place the digits 1 through 8 in the eight boxes so that each digit is used exactly once and no two consecutive digits touch hotizontally, vertically, or diagonally. Choose the correct answer below. A B. C. vD. 2 7 8 7 3 8 4 3 1 6 3 2 4 3 1 4 5 1 6 5 8 4 5 7 6 5 8 6 7 2 1 2 https://tdx.acs.pearsonprd.tech/api/v1/print/highered 6/6
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