growth and decay continuous growth logssolving equations 100 200 300 400
DESCRIPTION
What is the growth rate of the following function?TRANSCRIPT
![Page 1: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/1.jpg)
Algebra 2 Unit 5 JeopardyGrowth and
DecayContinuous
GrowthLogs Solving
Equations
100 100 100 100
200 200 200 200
300 300 300 300
400 400 400 400
![Page 2: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/2.jpg)
What is the initial value of the following exponential function?
Growth and Decay100
______
)05.1(572,1)(
a
xf x
![Page 3: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/3.jpg)
Growth and Decay200
What is the growth rate of the following function?
_______
)12.1(77)(
r
xp x
![Page 4: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/4.jpg)
You bought a new Honda Accord for $31,999. It depreciates at a rate of 12% per year.
(a) Write a function, H(t), representing the value of your Honda in year “t”.
(b) How much will your Honda be worth after 12 years?
Growth and Decay300
![Page 5: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/5.jpg)
The population of cuttlefish in the Malden River is exploding! For the past 10 weeks is has been
growing at 50%. If there are 692 cuttlefish today, how many were there 10 weeks ago?
P = __________
Growth and Decay400
![Page 6: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/6.jpg)
What is the approximate value of the natural base, e?
Continuous Growth100
![Page 7: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/7.jpg)
You invest $100 in an account with a 2% interest rate, compounded continuously. Write a function for f(t), the balance of your account in terms of time, t.
Continuous Growth200
![Page 8: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/8.jpg)
Continuous Growth300
• A population of Norwegian Blue parrots is growing continuously at a rate of 7% per year. If there are 200 parrots now, how many parrots will there be in 2027?
• There will be ____________ parrots in _______.
![Page 9: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/9.jpg)
You invest $750 in an account that grows by 0.25% per year and compounds continuously. Set up an equation that can be used to find how long it will take until your account doubles.
______________ = ________________
Continuous Growth400
![Page 10: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/10.jpg)
Logs100
![Page 11: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/11.jpg)
Logs200
![Page 12: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/12.jpg)
Logs300
![Page 13: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/13.jpg)
Logs400
![Page 14: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/14.jpg)
Directions: Solve the equation:
Solving Equations100
53𝑥=25𝑥−7
![Page 15: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/15.jpg)
Directions: Solve the equation:
40
Solving Equations200
![Page 16: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/16.jpg)
Solving Equations300
Directions: Solve the equation:
![Page 17: Growth and Decay Continuous Growth LogsSolving Equations 100 200 300 400](https://reader036.vdocuments.site/reader036/viewer/2022090103/5a4d1bc17f8b9ab0599d317c/html5/thumbnails/17.jpg)
Solving Equations400
• You deposit $2,000 in an account that compounds continuously at a rate of 2% per year. Set up and solve an equation to find exactly when the account will triple in size?