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Unit Test — Cumulative exam Answers

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Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balance of $2,200. Using the formula , how many years was his money invested?

Question illustration
A
2.75 years
B
10 years
C
15 years
D
27.5 years
42
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Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to represent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research. Ant Colony Growth: Bee Hive Growth: Which insect population is growing at a faster rate?

Question illustration
A
The ant colony is growing at a faster rate. It will multiply by 3.8 each week while the bee hive will add 3.8 each week.
B
The bee hive is growing at a faster rate. It will multiply by 3.8 each week while the ant colony will add 3.8 each week.
C
The ant colony is growing at a faster rate. It will add 3.8 each week while the bee hive will subtract 3.8 each week.
D
The bee hive is growing at a faster rate. It will add 3.8 each week while the ant colony will divide by 3.8 each week.
43

Eight car dealerships reported the number of cars they sold last month.Car DealershipNumber of Cars SoldGMC84Chevrolet81Nissan92Toyota92Ford95Honda94Hyundai80Acura72What is the upper and lower quartile of this set of data?

A
lower quartile: 80.5upper quartile: 93
B
lower quartile: 88upper quartile: 93
C
lower quartile: 80.5upper quartile: 88
D
lower quartile: 72upper quartile: 95
44

Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0.9. Julio is working with 13 data pairs with a correlation coefficient of –0.8. Dan is working with 10 data pairs with a correlation coefficient of 0.1. Miriam is working with 15 data pairs with a correlation coefficient of –0.2. For which two data sets is a linear regression model reasonable?

A
Aaliyah’s and Julio’s data sets
B
Julio’s and Miriam’s data sets
C
Dan’s and Miriam’s data sets
D
Miriam’s and Aaliyah’s data sets
45

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

A
P(pink lemonade | female) = P(pink lemonade) = 0.6.
B
P(female | pink lemonade ) = P(pink lemonade) = 0.3.
C
P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6.
D
P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.
46

Davis is planning to buy a bike. He has the full amount in his bank account. He does not want to pay any interest on his purchase. Which option(s) can Davis use when making the purchase?

A
Use a debit card only.
B
Use a credit card only.
C
Use a debit card, or use a credit card and pay the balance in full when the bill arrives.
D
Use a debit card, or use a credit card and make payments over the next few months.
47

Genevieve is buying a car audio system that consists of a stereo, speakers, and amplifiers. She is choosing between 5 types of stereos and 2 types of amplifiers. If she has a total of 30 choices, how many types of speakers must there be?

A
3
B
6
C
10
D
20
48

Madeline surveyed her classmates to find out how many pairs of shoes they own. Her data is displayed below. How many students did she include in her survey?

Question illustration
A
5
B
6
C
18
D
19
49

Cynthia had a credit card with a 17% APR and a $3,265 balance. She had budgeted to have the credit card paid off in 24 months. But after missing a single monthly payment, Cynthia’s credit card company has increased her interest rate to 21%. How much extra will Cynthia have to pay in finance charges (interest) because of the increase in her APR if she still pays off the credit card in 24 months?

A
$152.16
B
$272.08
C
$609.32
D
$761.48
50

Solve for in the equation .

Question illustration
A
x = –16 or x = 2
B
x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot
Option B
C
x = –2 or x = 16
D
x = 7 plus-or-minus 3 StartRoot 7 EndRoot
Option D
51

The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.

A
0 = –4.9t2 + 19.6t + 24.5
B
0 = –4.9t2 + 24.5t + 19.6
C
19.6 = –4.9t2 + 24.5t
D
24.5 = –4.9t2 + 19.6t
52

Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D
53

What is the value of the interquartile range of the data below?

Question illustration
A
4
B
5
C
8
D
13
54

Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

A
x(x + 7) = 13
B
x(x + 7) = 169
C
x2 + (x + 7)2 = 13
D
x2 + (x + 7)2 = 169
55

Ivan was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 108, 113, 105, 118, 124, 121, 109Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 61How is the median affected by the outlier?

A
The outlier slightly affected the median.
B
The outlier made the median higher than all the other values.
C
The outlier made the median lower than all the other values.
D
The median is the exact same number in both data sets.
56

Which box plot correctly displays the data set with a maximum of 24, a minimum of 3, a median of 15, an upper quartile of 19, and a lower quartile of 6?

A
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 24, and the box ranges from 6 to 19. A line divides the box at 15.
Option A
B
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 24, and the box ranges from 4 to 17. A line divides the box at 15.
Option B
C
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 24, and the box ranges from 6 to 17. A line divides the box at 15.
Option C
D
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 24, and the box ranges from 4 to 19. A line divides the box at 15.
Option D
57

At noon, a tree casts a shadow that is 40 feet long. The distance from the top of the tree to the furthest tip of the shadow is 60 feet. [Not drawn to scale]What is the height of the tree? Round to the nearest hundredth.

Question illustration
A
10.00 feet
B
20.00 feet
C
44.72 feet
D
72.11 feet
58

Which of the following values could represent the probabilities of complementary events?

A
and
Option A
B
28% and 82%
C
and
Option C
D
10% and 80%
59

Naomi is planning to get a job after graduating from college. Which explains why she should establish a positive credit history?

A
She will appear more responsible to future employers.
B
She will be able to do the job better.
C
She will be able to complete her job search application better.
D
She will get an increase in the interest rate on her student loans.
60

Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans. She took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. If she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. Approximately how much more in interest over the life of the loan does Nellie have to pay?

A
$68,510.16
B
$53,696.16
C
$32,206.32
D
$14,814.00

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