WorksheetsTest - Exponential Growth and Decay
Total questions: 17
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
Is this exponential growth or decay?
a)
Growth
b)
Decay
2.
What function type models this graph?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
3.
Is this exponential growth or decay?
a)
Growth
b)
Decay
4.
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
5.
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. What is the equation that models this problem for the value of the vehicle in 3 years?
a)
y= 7650(.14)3
b)
y= 7650(.86)3
c)
y= 7650(-.14)3
d)
y= 7650(1.14)3
6.
You put your money into a savings account that earns 8% interest compounded annually. If you originally invested $1,240, how much is in your account after 2 years?
a)
$1,438.40
b)
$1297.94
c)
$1,446.34
d)
$4017.60
7.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
8.
How much interest is earned on a $50 loan at a rate of 3% compounded annually for 5 years?
a)
$7. 96
b)
$57. 96
c)
$7.50
d)
$57.50
9.
If I had a baseball that was worth $3500 and it was reported to increase in value at a rate of 5% per year what would the ball be worth in 7 years? How long would it take for the baseball to double in value?
a)
Worth $4924.90 in 7 years and it would take between 14 and 15 years for it to double in value
b)
Worth $4924.90 in 7 years and it would take between 19 and 20 years for it to double in value
c)
Worth $4690.30 in 7 years and it would take between 14 and 15 years for it to double in value
10.
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
11.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
12.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
13.
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
14.
A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?
a)
y = 1500(1 - 0.015)t
b)
y = 1500(0.015)t
c)
y = 1500(1 + 0.015)t
d)
y = 1500(1.5)t
15.
Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?
a)
A fee charged for an inactive account
b)
The percent of money in the account after x years
c)
The amount of money in the account initially
d)
The amount of money in the account after x years
16.
Classify the model as Exponential GROWTH , DECAY or NEITHER
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
c)
Neither
17.
What does the model P=A(1+r)t best represent?
a)
Exponential growth
b)
Simple Interest
c)
Compound Interest
d)
Exponential Decay
100 %
