Test-4

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Southern Maine Community College *

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112

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Mathematics

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Feb 20, 2024

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Quantitative Reasoning Test—-4 Math - 112 Instructions: 1.) Show as much work as possible for the problems that say to show your work. These problems are worth 4 points each. All others are 2 points. NO credit will be given if no work is shown! 2.) Make sure you are NEAT! 3.) CIRCLE your final answer where appropriate. 4.) You may use your textbook and notes. 5.) Don't forget to sign the Honor Code pledge below! Honor code | pledge that I neither gave nor received help in the completion of this exam. | own and followed the above instructions. . ¥ M s \* signature: (VNN AV — Date: LA\ 1m/ U U A A ) Wi completed it on my. Name (printed):

1 . ) ::l‘f)ney in a bank account earning compound interest at an nual percentage rate of 5% represents an example of linear growth, Circle: True or | Fajse 2 :rue or False? Suppose you had a magic bank account in which your alance doubled each day. If you started with just $5, you'd be a milliona ire in less than a month. Circle: | True | or False * 5 Determine whether the growth (or decay) is linear or exponential, and then answer the associated question. 3 During the worst periods of inflation in America, the price of food increased at a rate of 12% per month. If your food bill was $320 one month during this period, what was it fzwo months later? Trnear Qoo | 2 % M0 — 204 12% =358 W After 2 momihs 26%.1\04 LD =30l M| 4 The price of a gallon of gasoline is increasing by 12¢ per week. If the price is $4.10 per gallon today, what will it be in eight weeks? 11D ¥0-2b=35:0b (Eiqeor oot \ @ L %8 =040 @“[{»“'V, 5) Suppose a radioactive substance has a half-life of 1000 years. What fraction will be left after 3000 years? m 1 \Z80 Apeo =KL 3 © " S 3 & True or False? Our town is growing with a doubling time of 10 years, 50 its population will triple in 30 years. Aot 1S 2800 40 ;0 Ao < yogeo Ynef afkec B 20,00 Cavse Hope¥2 . 000 \ Yhen clouole Hwla Hoa Wood A vond not 713

7 True or False? 100456 is between 10and 100, Circle: True atse ) ® The doubling time of a population of flies is 3 hours. By what factor does the population increase in 60 hours? (Exponerria 2, Vo arow — O 200 =011y’ PLbo) =Po ¥ (1 + 12D 5 - NS WO = Po w2V =R e2?) PO = oLt Plvo) {1,042 57 (x> 2 L=z 0=l2ys 2y {iomisae) 9 The number of cells in a tumor doubles every 4.2 months. If the tumor begins as a single cell, how many cells will there be after 3 years? = \tLLBa'iL \fw,.y.w | ) 10) The current population of a threatened animal species is 1 million, but it is declining with a half-life of 16 years. How many animals will be left in 58 11) What is comprised of the values of the dependent variable? (A Ramg]) B) Domain O Model D) Periodic function 12 What is comprised of the values of the independent variable? Periodic function A) Range B) Model D) Periodic functi

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Circle the sho Sirele the short statement that expresses & possible functiom betuoeen the given 19 (weight of a bag of grapes, price of the bag of grapes) of the hag cressen fihe bag. 14 TN SN Crafty Bill's Cool Car Sales opened as 5 a used car sales lot in the year2001 Cars sold The graph shows the number of cars sold as a function of time. Provide an appropriate response. 14. What is the approximate number of cars sold in 20052 15) A linear function has a varying rate of change and a straight- line graph. Cirle: |Truel or False 16) The rate of change is equal to the slope of the graph. Circle: rue| or False-

The Wri &iven situation involves a rate of c i g rate of change numerically (with wnits), a o nswer the questions. ’ use the rate of change rule to less gas will she sell if she less gas will she sell if she raises the price by 6 cents per gallon? 1f she 17) A gas station owner finds that for every penny increase in the price of ses the price by 4 cents per gallon? gasoline, she sells 1262 fewer gallons of gas per week. How much more or e by 1262 gallons per cent. The rate of hange in g sale 1 c by 3786 gallons. « cent. The rate of gallon, the change in gas sales s £310 gallons. se with respect 10 price by 1262 gallons per cent. The rate of xscd by 6 cents per gallon, the change in gas sales s s sales increase by 2524 gallons. D) Ata particular gas station. sales decrease with respect 1o price by 1262 gallons per cent. The rate of change is ~1262 gallons per cent. 1f the price is inc chan by 6 cents per gallon, the change in gas sales s 572 gallons. 1 the price is decreased by 4 cents, gas sales increase by 5048 gallons. Write an equation for the linear function and use it to answer the given question. 18 The cost of renting a car is a flat $44, plus an additional 0.15 cents per mile that you drive. How far can you drive for $89? an iy y +045 =39 . ) i"—‘.\ a0 = Create the required linear function an use it to answer the question. 19 In 1995 the United States recovered 23% of its municipal solid wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Based on these two data pui‘nls, create a linear equation for the function that describes how P varies as a function of time. A)P=-12t+7 B)P=06t-17 QP=12t+24 Qr-12+17

VA RTAR A T Find the slope and the y-intercept of the equation below. hen sketch the graph for values of x between -10 and 10, 20 y=-3x+3 Which is the graph of the function above and correctly states the slope. Alsiope = .y intercept = @.3) B) slope = -3 y intercept = (3,0) ) slope =- & y intercept = 3, 0) D) Ylope = 3; y intercept = ©, 3)

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AR R AR T 21 The cost of tuition at one community college is $400 plus $125 per credit Which graph below is correct, and states the correct cost if a student registers for 9 credits?

r CATRGAAS Provi, vide an appropriate response. 22 How many dimensions does a cube have? &) 23 How many dimensions does a line have? A4 B2 o 24) How many dimensions does a point have? @9 3 o2 Find the degree measure of the angle created by the given part of a circle. 1 25— circle 10 )36 18 QD Find the fraction of a circle that encloses the given angle. nearest tenth .... for #27 - 31 2) 24° “Solve and round your answer to the 27) Find the circumference of a circle with a radius of 5 yards 115 =\BWML yowds e ©C Cz=1 with a radius of 8.25 yards. I 2% Find the area of a circle

) A semi-circt s Acmh :;m transom above a door is to contain a stained glass window > stained glass window costs $2.42 u 4 42 per square inch, how much will the window cost? (just the window above the door) 3 23 oy C=Min ’7:’“ = "‘}‘“2— * LML 31) A toy ball has a diameter of 316 inches. What are its volume and surface area? oY B Jowme = Z1¢ Lo =T

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< e TR GRS A - X A..n.;n Find the area i rea in acr TR es of the property under rere. ! he given assumptions, Refer, | )| 1acre = == 43,560 sq. feet 32) The stream frontage is175 ream frontage is175 feet in length and the property line is 687 feet length. (15 3651 2o 225 3) Longitude measures east or west positions. T Circll |True| or False

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