linear vs. exponential real world applications warm up: system of equations warm up
TRANSCRIPT
![Page 1: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/1.jpg)
Linear vs. ExponentialReal World Applications
Warm Up: System of Equations Warm Up
![Page 2: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/2.jpg)
Homework Questions:
![Page 3: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/3.jpg)
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.
![Page 4: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/4.jpg)
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.
![Page 5: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/5.jpg)
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.
![Page 6: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/6.jpg)
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?
![Page 7: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/7.jpg)
Choice 1 vs. Choice 2 in equation form:
![Page 8: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/8.jpg)
Let’s look at it in a table perspective:
![Page 9: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/9.jpg)
Let’s graph them. What does the point of intersection mean?
![Page 10: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/10.jpg)
Let’s Try another:
• 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.
![Page 11: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/11.jpg)
Write a function to model each option
![Page 12: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/12.jpg)
If Lucy pick 6 bushel which option should she picked?
![Page 13: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/13.jpg)
If Lucy picked 12 bushel which option should she picked?
![Page 14: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/14.jpg)
How many bushel would Lucy have to pick to make option B better than option A?
![Page 15: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/15.jpg)
Let’s Try Again
• 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?
![Page 16: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/16.jpg)
Plan A vs. Plan B in equation form:
![Page 17: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/17.jpg)
Let’s look at it in a table perspective:
![Page 18: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/18.jpg)
Let’s graph them. What does the point of intersection mean?
![Page 19: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/19.jpg)
Any Questions
![Page 20: Linear vs. Exponential Real World Applications Warm Up: System of Equations Warm Up](https://reader035.vdocuments.us/reader035/viewer/2022062715/56649d765503460f94a56de0/html5/thumbnails/20.jpg)
Quiz Time