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Compound Interest -Interpreting & Analyzing Exponential Function
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
Standards-aligned
Raymee Burrell
Used 5+ times
FREE Resource
6 Slides • 23 Questions
1
2
Multiple Choice
The value of a used vehicle a number of years after purchase is given by the equation
3000(1 - 0.06)2 .
What does the 3000 represent in the exponential equation?
The amount the vehicle is worth after 2 years
The depreciation rate of the vehicle
The annual cost of maintaining the vehicle
The original price of the vehicle
The annual maintenance cost of the vehicle
3
Multiple Choice
The value of a used vehicle a number of years after purchase is given by the equation
3000(1 - 0.06)2 .
What does the 2 represent in the exponential equation?
The amount the vehicle is worth after 2 years
The depreciation rate of the vehicle
The annual cost of maintaining the vehicle
The original price of the vehicle
The annual maintenance cost of the vehicle
4
Multiple Choice
The value of a used vehicle a number of years after purchase is given by the equation
3000(1 - 0.06)2 .
Does this exponential equation represent an exponential growth or decay?
exponential growth
exponential decay
5
Multiple Choice
The value of a used vehicle a number of years after purchase is given by the equation
3000(1 - 0.06)2 .
What is the rate of growth or decay?
0.06 (6% growth)
-0.06 (6% decay)
1.06 (6% growth)
-1.06 (6% decay)
6
Math Response
The value of a used vehicle a number of years after purchase is given by the equation
3000(1 - 0.06)2 .
Evaluate the exponential equation.
7
Multiple Choice
The value of a saving account earning interest after a number of years is given by the equation 1500(1 + 0.2)3 .
What does the 0.2 represent in the exponential equation?
The total amount of interest earned after 3 years
The initial value of the savings account
The interest rate earned per year (20%)
The total value of the account after 3 years
The amount of interest earned in the first year
8
Multiple Choice
The value of a saving account earning interest after a number of years is given by the equation 1500(1 + 0.2)3 .
Does this exponential equation represent exponential growth or decay?
exponential growth
exponential decay
9
Math Response
The value of a saving account earning interest after a number of years is given by the equation 1500(1 + 0.2)3 .
Evaluate the exponential equation.
10
11
12
13
Multiple Choice
Which Exponential Formula?
abx + k
abx/t + k
a(1 + r)x + k
a(1 - r)x + k
P(1 + r/n)nt + k
14
Match
Identify each variable?
860
.088
2
9
unknown
P
r
n
t
A(t)
P
r
n
t
A(t)
15
Labeling
You were charged 8.8% compounded semi annually on your loan of $860 for a 3 year term. What total did you pay to borrow the money after 3 years? What is the equation to model the senario?
?
2
3
0.088
2
3
860
16
Fill in the Blanks
You were charged 8.8% compounded semi annually on your loan of $860 for a 3 year term. What total did you pay to borrow the money after 3 years? Round to the nearest cent.
17
Fill in the Blanks
You were charged 8.8% compounded semi annually on your loan of $860 for a 3 year term. How much interest will you pay to borrow the money after 3 years?
Hint: What you owe - Principal
18
Multiple Choice
Which Exponential Formula?
abx + k
abx/t + k
a(1 + r)x + k
a(1 - r)x + k
P(1 + r/n)nt + k
19
Match
Identify each variable?
1500
.04
4
3
unknown
P
r
n
t
A(t)
P
r
n
t
A(t)
20
Labeling
Gina deposit $1500 in an account that pays 4% interest compounded quarterly. What will her balance be after three years? What is the equation to model the senario?
?
0.04
3
1500
4
4
3
21
Fill in the Blanks
Gina deposit $1500 in an account that pays 4% interest compounded quarterly. What will her balance be after three years?
Round to nearest cent.
22
Fill in the Blanks
Gina deposit $1500 in an account that pays 4% interest compounded quarterly. How much interest can be earned if she leave the money invested for 3 years?
Hint: Ending Amount - Principal
Round to nearest cent.
23
Multiple Choice
Which Exponential Formula?
abx + k
abx/t + k
a(1 + r)x + k
a(1 - r)x + k
P(1 + r/n)nt + k
24
Match
Identify each variable?
1172.60
2
unknown
12
.032
A(t)
t
P
n
r
A(t)
t
P
n
r
25
Labeling
If, at the end of two years, a saving account has a balance of $1172. 60, and the interest rate is compounded monthly at 3.2% . What was the original amount deposited two years ago? What is the equation to model the senario?
12
12
1172.60
2
2
0.032
?
26
27
28
Fill in the Blanks
If, at the end of two years, a saving account has a balance of $1172. 60, and the interest rate is compounded monthly at 3.2% . What was the original amount deposited two years ago?
Round to the nearest whole dollar.
29
Fill in the Blanks
If, at the end of two years, a saving account has a balance of $1172. 60, and the interest rate is compounded monthly at 3.2%. How much interest was earned?
Hint: Ending Amount - Principal
Round to nearest cent.
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