AQR Spring Exam review questions

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1 Name: ate: Period: QR Spring Exam review questions Multiple hoice Identify the choice that best completes the statement or answers the question. 1,. 4 The first table above shows the number of premium members at two video rental stores, and, during the years The second table shows the average (arithmetic mean) number of video rentals per premium member at store during each of those years. ased on this information, which of the following best approximates the total number of video rentals by premium members at Store during the years ? 24,000 46,000 58,000 70,000 E 130,000 The circle graph above shows how avid s monthly expenses are divided. If avid spends $350 per month for food, how much does he spend per month on his car? $280 $320 $360 $380 E $ is what percent of 10? 300% 30% 3 Simplify. % 5 ccording to the graph above, in which year was the ratio of the number of students enrolled at School to the number of students at School the greatest? E 1994

2 6 The store discount merchandise by 10 percent of the original price at the end of each week and stops when the merchandise is priced at 50 percent of the original price. Which of the following graphs could correctly represent the price of an article of merchandise over an eight-week period? The bar graph above shows the number of tons of beans produced on a large farm for the years 1985 through For which of the following two-year periods was the average (arithmetic mean) bean production closets to the bean production in 1985? E , 18, 4, 15, 3, 21, x If x is the median of the 7 numbers listed above, which of the following could be the value of x? E is what percent of 10? 300% 30% E % 7 2

3 10 The maximum distance that you can see from the top of a tall building is (directly) proportional to the square root of the height of the building. You can see approximately 41 mi from the anadian National Tower lookout level, which is 1,135 ft tall. How far can you see from the top of a building that is 1,826 ft tall? 46 mi. 48 miles 50 miles 52 miles 11 The speed of a skidding car is directly proportional to the square root of the length of the skid. On a snowy road, a car with good brakes traveling at 50 mph would skid approximately 168 ft. If the skid marks of a similar car on a similar road were 450 ft, how fast would this car have been traveling? 72 mph 76 mph 78 mph 82 mph 12 On Earth, the force of gravity acting on an object varies inversely as the square of the distance from the object to the center of the Earth. ssume the radius of the Earth is 3,960 mi. satellite weighs 12 tons on the surface of the Earth. Find the weight of the satellite when it is 300 mi above the Earth. 13 The volume of a sphere is directly proportional to the cube of its diameter. recipe for apple pie calls for 8 apples that are each 4 in. in diameter. How many apples, each 2.5 in. in diameter, would be needed to make this pie? The number of species of lizards found on islands off aja alifornia is proportional to the fourth root of the area of the island. If the number of species on an island of 2 sq. mi is estimated to be 150, what would be the estimated number of species on an island of 10 sq. mi? The intensity of illumination of a light source varies inversely as the square of the distance from the light source. If the distance between your book and the lamp is tripled, how is the intensity of the illumination changed? one-half the original amount one-fourth the original amount one-eighth the original amount one-ninth the original amount 11.8 tons 11.2 tons 10.7 tons 10.4 tons 16 It is known that the diameter of the largest particle that can be moved by a stream is proportional to the square of the velocity of the stream. stream with a velocity of 0.5 mph can move coarse sand particles with a diameter of about 0.04 in. pproximate the velocity required to carry particles 0.25 in. in diameter mph 1.25 mph 1.35 mph 1.45 mph

4 17 Two similar cylinders have heights of 7 in and 5in. The larger cylinder holds 10 ounces (oz.), how much does the smaller cylinder hold? 3.4 oz. 3.6 oz. 3.8 oz. 5.1 oz. 18 If the amount of heat released by a radiator over a unit of time is proportional to the surface area of the radiator, how much more heat will be released from a new radiator that is twice as tall as the old one it is replacing? ssume the 2 units are similar is shape. 19 deejay charges a flat fee of $150 plus $60 for each hour of the event. What is the cost for a 6 hour event? $600 $510 $ 500 $ nother J charged $565 for a 6 hour event and $455 for a 4 hour event. What is this Js hourly rate & setup fee? $55 per hour ; $235 setup $60 per hour ; $145 setup $60 per hour ; $205 setup $55 per hour ; $180 setup 1.5 times as much 2 times as much 4 times as much 8 times as much 21 Suppose you own a car that is presently 24 months old. From the utomobile lue ook you find that its present trade-in value is $6,890. From an old lue ook, you find it had a trade-in value of $8, months ago. ssume the trade-in value decreases linearly with time. [Note: Recall this is called straight line depreciation.]. How old will the car be when it is worth $3,000? 51 mo. 49 mo. 47 mo. 45 mo. 22 The median home values in South arolina and Maine (adjusted for inflation) are in Table ssume that the house values are changing linearly. ased on this model, what will be the value of a median home in South arolina by the year 2020? $118,492 $121,028 $119,760 $122,296 4

5 23 The median home values in South arolina and Maine (adjusted for inflation) are in Table ssume that the house values are changing linearly. ased on this model, what will be the value of a median home in Maine by the year 2020? $118,492 $126,420 $119,760 $130, Several years ago, United Telephone Service offered three options for local telephone service: Monthly harges Plan. $14.95 plus $0.09 for each call over 30 Plan. $10.95 plus $0.20 for each call Plan. $20.25 for an unlimited number of calls fter how many calls will plan become the least expensive? Use Table on the observed federal minimum wage for certain years to answer the following question. What is the best projection for the hourly wage in 2025? $7.12 $8.23 $7.62 $ The charge for a taxi ride is $3.00 plus $1.50 for each mile. How many miles can you ride if you only have $48 to spend? 22 mi. 28 mi. 25 mi. 30 mi. 5

6 27 Table gives the percent of females in the U.S. who were smokers since ased on this data, by which year will the number of female smokers drop to 11% or below? Table gives the cost (in cents) of a first class 1-oz postage stamp from ased on this data, in what year will the cost of a first class stamp reach 65 cents? ompletion 29 The class average on a test was 81, with a standard deviation of 2.6. Find the probability that a student received at least a 78 on the test. 6

7 Matching (For 2-4) Use the two-way table to match each description with its value. Use each value, rounded to the nearest percent, only once. How You Look Up Spelling Words ge Online ictionary % 31% 43% E 57% 81% 30 percent of year olds in the survey that look up spelling words online 31 percent of year olds in the survey Short nswer percent of people in the survey that look up words in a dictionary 34 The graph above shows the results of a survey in which high school students were asked how many meals they typically eat per day. If 1,246 students responded to the survey, how many of them reported that they typically eat two meals per day? The graph above shows the percent of fabric distributed each year to retailers,,, and by a manufacturer. In 2000 the manufacturer distributed a total of 1,500,000 yards of fabric to these retailers, and in 2005 the manufacturer distributed a total of 2,800,000 yards of fabric to these retailers. What was the increase in the number of yards of fabric distributed to retailer from 2000 to 2005? 7

8 35 39 study from a consumer magazine claims that the lifetime of TV sets is Normally distributed with a mean of 10.2 years and a standard deviation of 1.1 years. If it is desired to offer a replacement guarantee on the 1% of sets with the shortest "lifetimes," for how many years 40 total of 28,000 people are represented in the graph above. pproximately how many of these people are 20 years old or older? 36 Sam's score on a test was 94. The class average was 84, and the standard deviation was 5.6. What percent of the class did better than Sam? 37 manufacturer produces bags of navy beans marked "Net Weight 8 oz." machine is set to fill each bag with 8.2 oz, but the actual weights are normally distributed with mean 8.2 oz and standard deviation 0.09 oz. What is the probability that a given bag will contain between 8.11 oz and 8.38 oz of beans? 41 t 16 different times, Rodney measured the temperature and wind velocity on top of Hubb s Hill. The scatterplot above shows the temperature and the wind velocity for each of the 16 times. Line l is the line of best fit. For how many of the times was the actual temperature greater than the line of best fit predicted for the corresponding wind velocity? 38 ST Test 479 students in your school took the ST test. ssuming that a normal curve existed for your school, how many of those students scored within 2 standard deviations of the mean? In the figure above, the length of is 2x and the length of is 3x. If a point is chosen at random from what is the probability that the point will lie on? 8

9 42 The duration of routine operations in a certain hospital has approximately a normal distribution with an average of 135 minutes and a standard deviation of 12 minutes. What percentage of operations last longer than 147 minutes? 43 Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean of and a standard deviation of What is the probability that a randomly selected high jumper has a personal best between 225 and 44 Suppose the test scores on an exam show a normal distribution with a mean of 82 and a standard deviation of 5. Within what range do the middle 68% of the scores fall? ) ) ) ) 9

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