Exponential Functions (Nate and Weston)

Graph exponential functions

100

y=2^x

https://www.desmos.com/calculator/sfvbuq3l3o

200

y=4^x-1

https://www.desmos.com/calculator/ybldc2jwgd

300

y=6^x+4

https://www.desmos.com/calculator/ccfaiccgdb

400

y=3^1-2x

https://www.desmos.com/calculator/j6dvefgzss

500

y=5^4x-2

https://www.desmos.com/calculator/av01alqacu

Solve Exponential Functions

100

36^2x = 216^x-1

x = -3

200

3^a-7 = 27^2a

a = ⁻⁷⁄₅

300

(⅓)^x+2 = 3^x-1

x = ⁻¹⁄₂

400

8^5x = 16^3x+4

x = ¹⁶⁄₃

500

16^x+1 = 4^4x+1

x = ½

Geometric Sequences

100

1, 4, __, 64, 256, 1,024

16

200

3, 9, 27, 81, __

243

300

6, 36, 216, 1,296, __

7,776

400

5, 25, 125, 625, 3,125, ___

15,625

500

-1, 3, -9, __, -81

27

Compound Interest

100

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

200

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

300

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

400

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

500

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

Growth/decay models

100

Blakely takes 520 milligrams of medicine. Blakely's body breaks down 25% of the medicine every hour. How much medicine in her body will be left after eight hours?

52.1 Milligrams will be left in her body.

200

Zach Helms has 60 dollars in his savings account because he chooses to spend all of his money on Jordan shoes. The interest rate on Zach's savings account is 10%. Which is compounded annually. How much interest will Zach earn in 2 years?

Zach will have made $12.60.

300

Victor deposited $20 in a savings account earning him 10% interest, which is compounded annually. He uses the money at the same time every year for turkey hunting.  How much will Victor have if he waits two years instead of one?

He will have $24.20.

400

Your mom deposited $80 in a savings account for your soccer equipment. This Savings account earns 5% interest every year. How much will she have for soccer equipment in 2 years?

She will have a whopping $88.20.

500

Your Dad has $60 in a savings account for his beautiful lawn. The interest rate is 5%. Which is compounded annually. How much interest will your Dad have earned in 3 years?

He only earned $9.46. Tis a tragedy.