FINAL REVIEW GAMEFINAL REVIEW GAME

How to PlayHow to Play

Split class into teamsSplit class into teamsEvery time a problem appears on the Every time a problem appears on the

screen, each group will work together screen, each group will work together to find an answer.to find an answer.

The first group to raise their hand and The first group to raise their hand and have the right answer will receive a have the right answer will receive a point.point.

At the end of the game, whichever At the end of the game, whichever group has the most amount of points group has the most amount of points will be crowned as the winner.will be crowned as the winner.

A school yearbook costs $15 per A school yearbook costs $15 per book to produce with an overhead book to produce with an overhead (storage, etc.) of $5500. The (storage, etc.) of $5500. The yearbook sells for $40. What is the yearbook sells for $40. What is the break-even point?break-even point?

A)220 A)220 B) 2002B) 2002C)310C)310 D)120D)120

For a certain commodity the supply For a certain commodity the supply equation is given by. At a price of $1, equation is given by. At a price of $1, 19 units of the commodity are 19 units of the commodity are demanded. If the demand equation is demanded. If the demand equation is linear and the market price is $4, find linear and the market price is $4, find the demand equation.the demand equation.

A) D=2p+21A) D=2p+21 B)D=85p+55B)D=85p+55C) D=3p+87C) D=3p+87 D)D=62p+84D)D=62p+84

Solve the systemSolve the system

A)x1=-17A)x1=-17 B)x1=16B)x1=16 X2=24X2=24 x2=55 x2=55

X3=33X3=33 x3=85 x3=85

X4=14 X4=14 x4=96 x4=96

C) Infinite SolutionsC) Infinite Solutions D) No D) No SolutionSolution

10

6

5

7

42

4321

432

21

xx

xxxx

xxx

xx

Solve the SystemSolve the System

A) Infinite SolutionsA) Infinite Solutions C)x=14C)x=14 B) No SolutionB) No Solution y=63 y=63 z=26z=26 D) Not enough sufficient data to answer D) Not enough sufficient data to answer

this questionthis question

23

1

02

zyx

zyx

zyx

Advertising vs. Sales: A business would Advertising vs. Sales: A business would like to determine the relationship between like to determine the relationship between the amount of money spent on advertising the amount of money spent on advertising and its total weekly sales. Over a period of and its total weekly sales. Over a period of 5 weeks it gathers the following data. Find 5 weeks it gathers the following data. Find the best line to represent the data. the best line to represent the data.

A) Y=2.5X+20.1A) Y=2.5X+20.1 B) Y=5.6X+88B) Y=5.6X+88 C)Y=76X+9C)Y=76X+9 D)Y=35X+43D)Y=35X+43

A factory manufactures 2 products each requiring A factory manufactures 2 products each requiring the use of 3 machines. The first machine can be the use of 3 machines. The first machine can be used at most 70 hours; the second machine at used at most 70 hours; the second machine at most 40 hours; and the third machine at most 90 most 40 hours; and the third machine at most 90 hours. The first product requires 2 hours on hours. The first product requires 2 hours on machine 1, 1 hour on machine 2 and 1 hour on machine 1, 1 hour on machine 2 and 1 hour on machine 3. The second product requires 1 hour machine 3. The second product requires 1 hour each on machines 1 and 2, and 3 hours on each on machines 1 and 2, and 3 hours on machine 3. If the profit is $40 per unit for the first machine 3. If the profit is $40 per unit for the first product and $60 per unit for the second product, product and $60 per unit for the second product, find the maximum profit.find the maximum profit.

A) P=2100A) P=2100 B)P=1560B)P=1560 X=15 X=62X=15 X=62

Y=25 Y=32Y=25 Y=32

C)P=6302C)P=6302 D)P=5620D)P=5620X=15X=15 X=98 X=98 Y=55Y=55 Y=85 Y=85

Katy wants to buy a bicycle that Katy wants to buy a bicycle that costs $175 and will purchase it in 9 costs $175 and will purchase it in 9 months. How much should she put in months. How much should she put in her savings account each month for her savings account each month for this if she can get 10% per annum this if she can get 10% per annum compounded monthly? compounded monthly?

A)20.61A)20.61 B)52.23B)52.23C)54.11C)54.11 D)18.81D)18.81

House Mortgage: A $152,400 loan is House Mortgage: A $152,400 loan is taken out at 9.5% for 25 years for taken out at 9.5% for 25 years for the purchase of a house. The loan the purchase of a house. The loan requires monthly payments. Find the requires monthly payments. Find the amount of each payment. amount of each payment.

A)$6325.69A)$6325.69 B)$1331.51B)$1331.51C)$41265.32C)$41265.32 D)$7898.36D)$7898.36

Continuation..Continuation..

Determine the total amount repaid Determine the total amount repaid over the life of the loan. over the life of the loan.

A) $399,453A) $399,453 C)$542,963C)$542,963B) $963,254B) $963,254 D)$349,528D)$349,528

Brian deposited $100 a month into Brian deposited $100 a month into an account paying 9% interest per an account paying 9% interest per annum compounded monthly for 40 annum compounded monthly for 40 years. What is the largest amount he years. What is the largest amount he may withdraw monthly for the next may withdraw monthly for the next 25 years? 25 years?

A)$3928.55A)$3928.55 B)$2516.36B)$2516.36C)3695.45C)3695.45 D)$4530.41D)$4530.41

Find the total amount (interest plus Find the total amount (interest plus principal) on $12,000 invested for 8 principal) on $12,000 invested for 8 months at 7% compounded monthly.months at 7% compounded monthly.

A)$12,571.57A)$12,571.57 B)$69,789.23B)$69,789.23C)$11,265.36C)$11,265.36 D)$83,105.64D)$83,105.64

Five people are to line up for a group Five people are to line up for a group photo. If 2 of them refuse to stand photo. If 2 of them refuse to stand next to each other, in how many next to each other, in how many ways can the photo be taken?ways can the photo be taken?

A)45A)45 B)63B)63C)72C)72 D)12 D)12

In a marketing survey, consumers In a marketing survey, consumers are asked to give their first three are asked to give their first three choices, in order of preference, of 9 choices, in order of preference, of 9 different drinks. In how many ways different drinks. In how many ways can they indicate their choices?can they indicate their choices?

A) 504A) 504 B)652B)652C)495C)495 D)630D)630

If the class consists of 10 girls and 5 If the class consists of 10 girls and 5 boys, how many different groups of 4 boys, how many different groups of 4 are made up of 2 boys and 2 girls?are made up of 2 boys and 2 girls?

A)563A)563 B)436B)436C)450C)450 D)604D)604

How many were surveyed?How many were surveyed?

A survey of freshman calculus students at A survey of freshman calculus students at a certain university showed the following a certain university showed the following graphics calculator use:graphics calculator use:

21 use TI21 use TI 13 use TI and Casio13 use TI and Casio 45 use Casio45 use Casio 14 use HP and TI14 use HP and TI 24 use HP24 use HP 15 use Casio and HP 15 use Casio and HP 1 use none1 use none 8 use all three 8 use all three A)78A)78 B)57B)57 C)45C)45 D)32D)32

If A1, A2, and A3 form a partition of a If A1, A2, and A3 form a partition of a sample space S and A1=.2, A2=.4, sample space S and A1=.2, A2=.4, A3=.4 and if E is an event of S for A3=.4 and if E is an event of S for which P(E|A1)=.01, P(E|A2)=.02, and which P(E|A1)=.01, P(E|A2)=.02, and P(E|A3)=.01. Find P(A1|E). P(E|A3)=.01. Find P(A1|E).

A).143A).143 B).264B).264C).064C).064 C).894C).894

1A

Four percent of the items coming off Four percent of the items coming off an assembly line are defective. If the an assembly line are defective. If the defective items occur randomly and defective items occur randomly and ten items are chosen for inspection, ten items are chosen for inspection, what is the probability that exactly what is the probability that exactly two items are defective?two items are defective?

A).0519A).0519 B).3164B).3164C).8792C).8792 D).1546D).1546

In a lottery, 1000 tickets are sold at In a lottery, 1000 tickets are sold at $0.25 each. There are 3 cash prizes: $0.25 each. There are 3 cash prizes: $100, $50, and $30. Alice buys 5 $100, $50, and $30. Alice buys 5 tickets. What would have been a fair tickets. What would have been a fair price for a ticket?price for a ticket?

A).018A).018 B) .18B) .18C).96C).96 D).52D).52

Find a Z-score such that 10% of the Find a Z-score such that 10% of the area under the curve is to the left of area under the curve is to the left of the score. the score.

A)1.28A)1.28 B)-8.96B)-8.96C)-1.28C)-1.28 D).23D).23

An experimental test to detect a particular An experimental test to detect a particular type of cancer indicates the presence of type of cancer indicates the presence of cancer in 90% of the individuals known to cancer in 90% of the individuals known to have this type of cancer and in 15% of the have this type of cancer and in 15% of the individuals known to be cancer-free. One individuals known to be cancer-free. One hundred individuals volunteer to take the hundred individuals volunteer to take the test. Of the 100, 60 are known to have test. Of the 100, 60 are known to have cancer and 40 are known to be cancer-cancer and 40 are known to be cancer-free. If the test indicates that a randomly free. If the test indicates that a randomly chosen individual has the cancer, what is chosen individual has the cancer, what is the probability that he or she is cancer-the probability that he or she is cancer-free?free?

A).10A).10 B).90B).90

C).12C).12 D).65D).65

The time spent in a waiting line at a The time spent in a waiting line at a supermarket is known to be normally supermarket is known to be normally distributed with a mean of five minutes distributed with a mean of five minutes and a standard deviation of 30 seconds and a standard deviation of 30 seconds (0.5 minutes). Determine the probability (0.5 minutes). Determine the probability that a randomly chosen customer will that a randomly chosen customer will spend between 4.5 and 6.5 minutes in spend between 4.5 and 6.5 minutes in line. line.

A).65A).65 B).12B).12 C).84C).84 D).32D).32

THANKS FOR PLAYING!THANKS FOR PLAYING!

ANSWER KEYANSWER KEY AA AA AA BB AA AA DD BB AA AA AA CC AA CC BB AA AA BB CC AA CC