growth and decay continuous growth logssolving equations 100 200 300 400

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?