1. modeling

2. Warm up
Lincoln deposits money in a Certificate of Deposit account. The balance in his account t years after making the deposit is given by 𝐿 𝑡 =500 (1.05) 𝑡 for t > 0.
a. Explain why Lincoln's balance can never be 499.
Helen deposits money in a similar Certificate of Deposit account. The balance in her account is described as H(t) = 600(1.04)𝐻 𝑡 =600 (1.04) 𝑡 for t > 0.
b. Describe how the two balances compare over time.

3. Homework review

4. Homework review

5. Homework Review

6. you try!
How much will a college savings bond worth $5000 earn, if the interest is 6% compounded monthly for 5 years?

7. You try!
Jasper deposited $500 in a savings account that pays 6% interest compounded continuously. When he withdrew the money, there was a balance of $750. How long did it take to accrue the additional $250?

8. What is mathematical modeling?
Feel free to ask google
It is the process of mathematizing a real-world situation.

9. Group project
Use Desmos to model your payment plan

10. 3rd period

11. 4th period

12. Modeling your payment option

13. Modeling your payment option
Calculate your balance for the first few months of the payment plan.
Tabulate these values in Desmos.
Your points should appear to belong to a curve. If they do not, check your calculations.
In the next calculation box, type in
This will prompt Desmos to perform an exponential regression.