Change & Evaluate the following Logarithmic Equations to Exponential Equations.
Writing Exponential Equations Day 2 - WordPress.com · 11/11/2016 · Writing Exponential...
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5 Writing Exponential Equations Day 2.notebook
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November 04, 2016
Feb 2810:54 AM
Writing Exponential EquationsDay 2
MGSE9‐12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational, and exponential functions (integer inputs only).
MGSE9‐12.A.CED.2 Create linear, quadratic, and exponential equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. (The phrase “in two or more variables” refers to formulas like the compound interest formula, in which A = P(1 + r/n)nt has multiple variables.)
5 Writing Exponential Equations Day 2.notebook
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November 04, 2016
Aug 181:21 PM
What am I learning today?How to write the equation for an exponential
function
How will I show that I learned it?Recognize an exponential scenario and write an
equation to model it
5 Writing Exponential Equations Day 2.notebook
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November 04, 2016
Oct 2912:58 PM
An exponential function is created by MULTIPLYING BY THE SAME NUMBER.
It takes the general form of
f(x) = a(b)x + k
where a is the initial value, b is the multiplier, x is the number of times it's changed, and k is a
constant.
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November 04, 2016
Sep 209:39 PM
Parameter: a term in a function that determines a specific form of a function but not the nature of the function. The numbers that give a function its shape.
For an exponential function: a, b and k are the usual parameters (initial value, base, and constant). Changing the parameters changes the function and the graph.
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November 04, 2016
Nov 11:00 PM
For the following, indicate the parameters.
1. f(x) = 4(0.8)x 2. g(x) = 2(4)x + 7
3. h(x) = 2/3(1+.08)x 3 4. j(x) = 4(1.6)x/5
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November 04, 2016
Oct 291:02 PM
Steps for Writing Exponential Equations from a Table:
Step 1: Find the y-intercept. Label this "a".Step 2: Find your ratio of change by dividing the 2nd # by the 1st #. Check it by dividing the 3rd # by the 2nd #. Label this "b".Step 3: Plug into the formula y = A(B)x
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Aug 223:44 PM
Introduction: Your grandmother wants to help you save for college. She gave you $100 when you were 5. She promises to give you 30% more every year. How much money will she give you when you are 18? How much money will you have?
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Returning to a past example...
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November 04, 2016
Oct 291:08 PM
How can you tell by looking at the table if you have an exponential growth or decay function?
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November 04, 2016
Nov 11:19 PM
Month Debt0 $50.001 $52.002 $54.083 $56.244 $58.49
Your credit card debt is growing according to the following table.
Write an equation to represent how much you owe based on how many months you haven't paid off the debt.
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November 04, 2016
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Month Debt0 $50.001 $52.002 $54.083 $56.244 $58.49
Your credit card debt is growing according to the following table.
If you wait 1 year to pay off the debt, how much will you owe? How much additional money are you paying in interest?
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November 04, 2016
Nov 11:19 PM
Month Debt0 $50.001 $52.002 $54.083 $56.244 $58.49
Your credit card debt is growing according to the following table.
When is your debt growing more quickly? Between months 1 and 3 or months 10 and 12?
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November 04, 2016
Nov 11:27 PM
The table below represents the number of mosquitos based on the number of times a farmer has used a pesticide.
Write an equation to represent how many mosquitos there arebased on how many times the pesticide has been used.
# of uses
# of mosquitos
0 15001 5252 1843 644 23
5 Writing Exponential Equations Day 2.notebook
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November 04, 2016
Nov 11:27 PM
The table below represents the number of mosquitos based on the number of times a farmer has used a pesticide.
If the farmer uses the pesiticide 10 times, how many mosquitos would he expect to be left?
# of uses
# of mosquitos
0 15001 5252 1843 644 23
5 Writing Exponential Equations Day 2.notebook
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November 04, 2016
Nov 11:27 PM
The table below represents the number of mosquitos based on the number of times a farmer has used a pesticide.
When are the mosquitos dying more quickly? Between uses 0 and 2 or uses 4 and 6?
# of uses
# of mosquitos
0 15001 5252 1843 644 23
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November 04, 2016
Nov 11:33 PM
Interest Growth
A = final amount of money
P = Principal Investment (initial amount of money)
r = rate of change
n = number of times compounded per year
t = number of years
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November 04, 2016
Nov 11:41 PM
If you have $5000 compounded quarterly at a rate of 6%, how much will you have after 5 years?
If you have $5000 compounded monthly at a rate of 6%, how much will you have after 5 years?
If you have $5000 compounded monthly at a rate of 8%, how much will you have after 5 years?
If you have $5000 compounded monthly at a rate of 8%, how much will you have after 10 years?
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November 04, 2016
Nov 49:47 AM