Graph exponential functions
62x = 6x-1
x = -1
Arithmetic or Geometric Sequence?
1, 4, 16, 64, 256, 1,024
Geometric
Connor Ward puts $200.00 into an account to use for expenses in college materials. The Bank Account earns 10% interest, which is compounded annually. How much money will be in Connor's account after 7 years?
$389.74
Exponential Growth, Decay or niether?
Blakely takes 520 milligrams of medicine. Blakely's body breaks down 25% of the medicine every hour.
Decay
3a-6 = 27a
a = -3
3, 9, 27, 81, __
243
Eli Hunt opened a savings account and deposited 700 dollars. The banking account earns 7% interest, compounded annually. If Eli wants to use the money to buy a new car in 2 years, how much will he be able to spend on the Vehicle?
$801.43
Exponential Growth, Decay or neither?
(0, 1), (1, 2), (2, 4), (3, 8)
(9)x+2 = 3x-1
x = -5
6, 36, 66, 96, __
126
Churchill Harris opened a savings account and deposited $300.00. The banking account earns 3% interest and is compounded annually. What is the balance of the account after 2 years?
$318.27
Exponential growth, decay or neither?
(1, 5), (2, 8), (3, 11), (4, 14), (5, 17)
Neither
85x = 1615
x = 4
5, 25, 125, 625, 3,125, ___
15,625
Parker puts $300.00 into an account to use for Basketball trips. The account earns 6% interest and is compounded annually. How much will be in the banking account after 6 years?
$425.56
Exponential growth, decay, or neither?
(0, 1), (1, 1/3), (2, 1/9), (3, 1/27)
Exponential Decay
16x+1 = 44x+1
x = ½
Write an explicit formula for this geometric sequence:
3, 6, 12, 24
an = 3(2)n-1
Tate Howard opened a savings account and deposited $300.00 as principal. The account earns 9% interest and is compounded annually. What is the balance in his bank account after 8 years?
$597.77
What is the exponential growth function of the following points? (0, 3), (1, 6), (2, 12), (3, 24)