Quiz about 6.1/6.2

Question 1

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 2

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 3

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Accepted Answer

Decay

Answer

Growth

Question 4

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 5

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation?

Accepted Answer

y=78(0.5)^x

Answer

y=78(1.5)^x

Answer

y=78(2)x

Question 6

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 7

Is this exponential growth or decay?

Accepted Answer

Growth

Answer

Decay

Answer

Linear

Question 8

What does the a in y=a(1+r)^x represent?

Accepted Answer

Initial Amount

Answer

Time

Answer

Rate

Answer

Slope

Question 9

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 10

What type of function is f(x)=2(1/7)^x ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 11

What is the decay rate in the following model?

A=1200(.85)⁶

Accepted Answer

.15

Answer

1200

Answer

.85

Answer

6

Question 12

What is the decay factor in the following model?
A=1200(.85)⁶

Accepted Answer

.85

Answer

1200

Answer

-.15

Answer

A

Question 13

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 14

What is r, the growth rate, for the function: f(x) = 300(1.16)^x?

Accepted Answer

.16

Answer

300

Answer

1.16

Answer

x

Question 15

Is y = 5(1.04)^x growth or decay?

Accepted Answer

Growth

Answer

Decay

Question 16

Is y = 4(.20)^x growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 17

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

Accepted Answer

9766

Answer

9006

Answer

2800

Answer

5433

Question 18

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 19

Which equation matches the graph?

Accepted Answer

y=2(2)x

Answer

y=2(1/2)x

Answer

y=2x

Answer

y=1/2(2)x

Question 20

What is the balance of $6000 compounded annually at a rate of 4% for 10 years?

Accepted Answer

$8,881.47

Answer

$7,432.93

Answer

$8,400

Answer

$6,500

Question 21

What is the y-intercept of the function?

Accepted Answer

3

Answer

2

Answer

1

Answer

-2

Question 22

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 23

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 24

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Accepted Answer

4309

Answer

14327

Answer

839

Answer

7680

Question 25

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

Accepted Answer

$424,527.63

Answer

$176,783.29

Answer

$57,357.75

Answer

$532,041,076.80

Question 26

A stamp gets more expensive each year.  It increases in value by 60 % each year.  What is the growth FACTOR?

Accepted Answer

1.6

Answer

.6

Answer

1.06

Answer

.4

Question 27

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.  What is the growth factor?

Accepted Answer

1.04

Answer

.96

Answer

1.4

Answer

$3000

Question 28

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the was the population of Brownville in 1980?

Accepted Answer

720,500 people

Answer

102.2 people

Answer

1.022 people

Answer

1022 people

Question 29

In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1994?

Accepted Answer

43871

Answer

OVERFLOW

Answer

1994

Answer

1000

Question 30

Question 30.

Accepted Answer

f(x) = 36(1.5)^x

Answer

f(x) = 35(0.95)^x

Answer

f(x) = 36(0.05)^x

Answer

f(x) = 35(1.05)^x

Question 31

The special number, natural base "e", is a ________________ number.

Accepted Answer

irrational

Answer

rational

Answer

real

Question 32

What is the y-intercept for the graph of $y=3e^x$ ?

Accepted Answer

(0, 3)

Answer

(1,0)

Answer

(0, 1)

Answer

(3, 0)

Question 33

Which of the following graphs matches the function $y=0.75e^x$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 34

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

Accepted Answer

$2,225.54

Answer

$1,225,54

Answer

$22,255.40

Answer

$225.54

Question 35

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

Accepted Answer

$12,749.30

Answer

$12712.31

Answer

$12,657.59

Answer

$12550.84

Question 36

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

Accepted Answer

$15,683.28

Answer

$15,415.94

Answer

$15,927.56

Answer

$16,109.05

Question 37

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

Accepted Answer

$831.10                 (Mrs. Hoch)

Answer

$827.52                     (Mr. Williams)

Answer

$839.45                    (Mr. Krajunus)

Answer

$846.80                   (Ms. Palombo)

Question 38

Adam invests $5,208 in a savings account with a fixed annual interest rate of 8% compounded continuously. What will the account balance be after 8 years?

Accepted Answer

$9,876.87

Answer

$10,699.49

Answer

$9,489.59

Answer

$8,803.91

Question 39

Willie invests $8,515 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 20 years?

Accepted Answer

$23,146.17

Answer

$22,017.32

Answer

$20,021.95

Answer

$20,943.52

Question 40

Mark invests $3,285 in a retirement

account with a fixed annual interest rate of

7% compounded continuously. What will

the account balance be after 18 years?

Accepted Answer

$11,581.01

Answer

$12,420.73

Answer

$13,321.33

Answer

$12,671.64

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