Properties of Exponents
Applications
Melting Pot
Compound Interest
Exponential Graphs
100
(a^4b^-2)(a^2b^5)
(a^6b^3)
100
Miss Suzie purchased a car for 26,400 and every year it depreciates by 12%. What she expect the value of her car to be after 3.5 years?
$16876.92
100
Describe the transformation in the following function:
f(x) = 2x
g(x) = 2x+3 +5
Translated left 3 and up 5 units
100
Ms. Wiggins deposited $1,000 in a CD at a 7% interest compounded quarterly. How much will her CD be worth in 5 years?
$1414.78
100
What is the domain in a exponential function?
(-oo,oo)
200
(4x^5y^3)/(12x^7y^3)
1/(3x^2)
200
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
$710250.69
200
Describe the transformation in the following function:
f(x) = 2x
g(x) = -2x - 4
Translated down 4 units and reflected
200
Suppose that $5000 is deposited in a saving account at the rate of 6% per year. It's compounded quarterly. Find the total amount on deposit at the end of 4 years.
$6344.93
200
Name the asymptote:
y=2(3)^(x-7)+4
y = 4
300
(-2a^3b^-4c)^3
(-8a^9c^3)/b^12
300
The equation f(x) = 422,000(1.12)x represents the population of a city every year. In 15 years, what will the population of the town be?
about 2,309,844
300
What is the decay rate?
y=295(.78)^t
decay rate = 22%
300
Ryan invests $2000 in a savings account with a fixed annual interest rate of 10% compounded 8 times per year. What is his balance after 10 years?
$5,402.97
300
Does the graph represent exponential growth, exponential decay, a linear model or none of the
above? 
Exponential Growth
400
((2x^2y)/(5xy^3))^2
(4x^2)/(25y^4)
400
A bunny family totaled 154 in 2018. The family grew at an annual rate of 1.032. How large will the family be 2025?
about 192
400
What is the growth rate:
y=119(1.16)^t
growth rate = 16%
400
A bank is offering a CD that pays 6% compounded continuously. How much would a deposit of $2000 earn over 8 years?
$3232.15
400
What is the asymptote of the exponential function graphed?
y = -8
500
(3a^-2b^4c^0)^2(-2a^5b^-3c)
-18ab^5c
500
The fish in Lake Washington were declining at an annual rate at 1.5%. Their current number is estimated at 2500. How many fish will there be 20 years from now?
about 1,847 fish
500
Describe the transformation in the following function:
f(x) = ex
g(x) = e(x+4)
Translated 4 units to the left
500
Adam invests $6,139 in a retirement account with a fixed annual interest rate compounded continuously. After 17 years, the balance reaches $8,624.97. What is the interest rate of the account?
2%
500
If the red graph is
y=3^x
then state the equation for the green graph.
y=-3^x