Ex #2: Write an exponential function to model the given data. 1 2 3 4 5 6. 10 20 40 80 160 • What is the initial value? What is the ratio? So, our function for this table would be:,

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Ex #2: Write an exponential function to model the given data.
1
5
2
4
5
6
10
20
40
80
160
• What is the initial value?
What is the ratio?
So, our function for this table would be:,
Ex #3: Write an exponential function to model the given data.
1
2
3
200
4
5
6
400
100
800
50
25
What is the initial value?.
What is the ratio?
So, our function for this table would be:
Ex #4: Write an exponential function to model the given data.
1
2
3
4
270
80
120
180
405
What is the initial value?
What is the ratio?
This ratio isn't so obvious now, is it? Don't forget that, when you have an exponential
function, you easily find the common ratio if you get stuck. Pick any two consecutive
values and divide the second by the first. BOOM.there is your common ratio.
So...pick two consecutive values.
• Which ones did you pick?
.
Land.
Now divide the second number by the first number. What did you get?
THAT is your common ratio. Go and fill in the blank above.
NOW that we know the common ratio, we can write our function.
So, our function for this table would be:
Transcribed Image Text:Ex #2: Write an exponential function to model the given data. 1 5 2 4 5 6 10 20 40 80 160 • What is the initial value? What is the ratio? So, our function for this table would be:, Ex #3: Write an exponential function to model the given data. 1 2 3 200 4 5 6 400 100 800 50 25 What is the initial value?. What is the ratio? So, our function for this table would be: Ex #4: Write an exponential function to model the given data. 1 2 3 4 270 80 120 180 405 What is the initial value? What is the ratio? This ratio isn't so obvious now, is it? Don't forget that, when you have an exponential function, you easily find the common ratio if you get stuck. Pick any two consecutive values and divide the second by the first. BOOM.there is your common ratio. So...pick two consecutive values. • Which ones did you pick? . Land. Now divide the second number by the first number. What did you get? THAT is your common ratio. Go and fill in the blank above. NOW that we know the common ratio, we can write our function. So, our function for this table would be:
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