This is a blog for my second semester pre-calculus 30s students. Have a blast!

Monday, April 24, 2006

Scribee Postee

Hey everyone,

I'm going to make this scribe post as short and detailed as possible.

EXPONENTIAL GROWTH


For values to grow exponentially means to increase by a different amount each time.

  • The formula for an exponential growth: f(x) = abx
  • Restrictions for the formula are: a & b R, a 0, b > 1
The simplest exponential function is : f(x) = 2x

ex. The growth of a $7000 RRSP (RRSP means Registered Retired Savings Plan)

Time (years)

Value ($)

0

7000

1

7630

2

8376

3

9005

4

9881

5

10770


i) estimate the time needed to reach $14000. There are several steps:

  1. Press the STAT button in your graphing calculator.
  2. Plot out the Time variables on the L1 column, and the Value variables on the L2 column.(Note: make sure Plot1 is on. You can enable this by going to the Stat Plot menu on your graphing calculator. [2nd func, stat plot, press enter on plot 1, set it on.])
  3. You will now see dots on your calcuator. We must now find the exponential expression. You can do this by pressing the STAT button your graphing calculator, going the to the CALC menu, pressing 0 or finding the ExpReg on the categories. Press ENTER twice.
  4. To plot it as an equation on the Y= menu, go to Y= menu, press VARS, then press 5 or pressing ENTER on the Statistics selection. Then go to the EQ menu, select option 1 (RegEQ). You should now have the equation on your Y= menu. Now you can graph it and find the solution to the problem.
Doing this, you should have 8 years as an answer.

ii) Find the value of the RRSP after 12 years:
You might want to change your window settings for this one. Set the Xmax value on your graphing calculator to 15. You should get $19630.28 as an answer.

NO HW for today except for that worksheet we finished in class.

Next scribe is Tim-Math-y.

8 Comments:

Blogger Mr. Malandrakis said...

Great job Tim. A fantastic post as well as your 1 mark on this week's test locked up. Well done.

11:38 AM

 
Blogger Mr. Malandrakis said...

Great job Tim. A fantastic post as well as your 1 mark locked up for this weeks test.

11:38 AM

 
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