growth and decay continuous growth logssolving equations 100 200 300 400
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What is the growth rate of the following function?TRANSCRIPT
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
What is the initial value of the following exponential function?
Growth and Decay100
______
)05.1(572,1)(
a
xf x
Growth and Decay200
What is the growth rate of the following function?
_______
)12.1(77)(
r
xp x
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
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
What is the approximate value of the natural base, e?
Continuous Growth100
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
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 _______.
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
Logs100
Logs200
Logs300
Logs400
Directions: Solve the equation:
Solving Equations100
53𝑥=25𝑥−7
Directions: Solve the equation:
40
Solving Equations200
Solving Equations300
Directions: Solve the equation:
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?