WorksheetsUnit 6 Review
Total questions: 20
Worksheet time: 1hrs 3mins
Name
Class
Date
1.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
2.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
3.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
4.
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.
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.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
5.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
6.
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?
a)
9766
b)
9006
c)
9765
d)
5433
7.
Find the following Balance:
$600 invested at 6% compounded annually for 7 years.
$600 invested at 6% compounded annually for 7 years.
a)
$2273.04
b)
$1080.57
c)
$1057.95
d)
$902.18
8.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
9.
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
10.
What is the common ratio of this sequence ? 5, 25, 125, ...
a)
4
b)
2
c)
5
d)
6
11.
What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?
a)
-6
b)
6
c)
12
d)
-4
12.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
13.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
14.
Evaluate.
log6(1/216)
log6(1/216)
a)
3
b)
1/3
c)
-1/3
d)
-3
15.
log525 = ?
a)
2
b)
5
c)
125
16.
Damara invests $3500 at 2% compounded continuously for 5 years. How much will she have in her account after 5 years?
a)
$3868.10
b)
$3886.10
c)
$3688.10
d)
$3286.10
17.
Julia invested $1000 for college in an account earning 5% compounded annually (once per year). When she checked the account after 4 years, how much money did she find in the account?
a)
$1260.75
b)
$563.24
c)
$1215.51
d)
$3200.12
18.
Evaluate the following logarithm:
log327
a)
3
b)
2
c)
-3
d)
1/3
19.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
20.
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___, ...
a)
1024, 2048, 4096
b)
32, 8, 2
c)
64, 32, 16
d)
92, 66, 38
100 %
