1. Real World Applications Warm Up: System of Equations Warm Up
Linear vs. Exponential
Real World Applications
Warm Up: System of Equations Warm Up

2. Homework Questions:

3. Review: Do you know what type of function is given in this table?
The difference in y-values is always two, a constant.
The graph is linear and is verified at right.
Review:

4. Review: Do you know what type of function is given in this table?
The first difference in y-values is not constant but the second difference is. The graph is quadratic and is verified at right.
Review:

5. Review: Do you know what type of function is given in this table?
The difference in y-values follows a pattern similar to the y-values. The graph is exponential and is verified at right because you multiply by 2 each time.
Review:

6. COMPARING LINEAR VS. EXPONENTIAL
Mrs. Tran wants to put $$ in the bank for saving. She have two choices for her saving. Choice 1: She can put $10 in her bank and each week put an additional $2. Choice 2: She can put $1 in her piggy and double each week. When will the amount of money she put in her piggy from choice 2 exceed her choice 1?
COMPARING LINEAR VS. EXPONENTIAL

7. Choice 1 vs. Choice 2 in equation form:

8. Let’s look at it in a table perspective:

9. Let’s graph them. What does the point of intersection mean?

10. Mr. Smith has an apple orchard
Mr. Smith has an apple orchard. He hired his daughter, Lucy, to pick up the apples and offered her two payments option:
Option A: $1.50 per bushel of apples picked
Option B: 1 cent for picking one bushel, 3 cent for picking 2 bushel, 9 cent for picking 3 bushel, and so on with the amount being triple for each additional apple bushel picked.
Let’s Try another:

11. Write a function to model each option

12. If Lucy pick 6 bushel which option should she picked?

13. If Lucy picked 12 bushel which option should she picked?

14. How many bushel would Lucy have to pick to make option B better than option A?

15. Ben has $100 in his savings account. He wants to save more money
Ben has $100 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will increase his account balance by $20 a year. Under plan B, he will increase his account balance by 15% each year. How much more will he save with Plan B after 10 years?
Let’s Try Again

16. Plan A vs. Plan B in equation form:

17. Let’s look at it in a table perspective:

18. Let’s graph them. What does the point of intersection mean?

19. Any Questions

20. Quiz Time