In this investigation you explored situations involving exponential growth. Think about your answers to these questions. After a brief discussion write a summary of your findings.
1. Describe an exponential growth pattern. Include key properties such as growth factors.
2. How are exponential growth patterns similar to and different from the linear growth patterns you worked with in earlier units?
36 comments:
{1}in exponential growth patterns the numbers are being multiplied by the same number.
{2}they are similar because they go up by the same number,the number doesn't change,only the operation.
1. The exponential growth pattern can grow fast. It gets exponents instead of addition.
2. Exponential growth patterns are similar to linear equations(patterns) because they can be used in graphs and tables. They both also have variables. They are different because the exponential equations can grow much faster.
1.exponential growth keeps getting higher in higher and on a graph the speed increases a lot. it grows by the exponent.
2.exponential growth patterns multiply and linear growth patterns just add. also if its growth then the both increase instead of decrease.
1.An Exponential growth pattern goes by an certain exponent.
2.Exponential growth pattern are similar to linear growth patterns because they both go by an constant rate. Its different because we use exponents in the Exponential equation and not in the linear equations.
1. an exponential growth pattern is on a table the numbers keep increasing by a certain number like if the number was 3 and your first number is one then it would go 3,9,27 etc... and a simple exponential growth pattern equation is R=3^n as you can see what makes it the right equation is the variable N is an exponent and the number is the base so this is an example of a wrong equation R=n^3 see now the variable is the base and the number is the exponent that is a wrong equation.
2. An exponential growth pattern is different from a linear equation but also similar like for example the way its different is if you look on a graph you would see the exponential pattern is like the shape of a "Nike" check but if you look at a linear equations graph its a straight line. the way its similar to a linear equation the numbers on a table increase by the same number on a linear table but on an exponential table it is multiplied by the same number but it does not increase by the same number.
In an exponential growth pattern the pattern is not +1,+2... the pattern consist of EXPONENTS. Exponents multiply with themselves.With patterns the data share some trait. The way it is multiplied or factors of that same number have.With both exponential and linear graphs, tables and equations all data will have the same process to figure out the pattern. But the processes are different. In a linear table the data on the Y column is added to the previous number before it.In exponential equations the base number will always remain the same.
An exponential growth pattern multiplies instead of adding.So If on a graph there is 4 for for one and 16 for 2 its because its multiplying by 4. Exponential patterns are different because there is never really a constant rate but a linear equation has a constant rate. Also a linear equation adds while an exponential multiplies. The only way they are similar is by the fact that they stay with the same number throughout the whole thing.
An exponential growth pattern is when for example a table increases not by a constant rate but maybe by doubling the previous number. also the equation will look like Ex:R=4^N OR 4N-1
the difference between exponential growth and linear growth is that linear growth increases by a constant rate. like 1,2,3,4 etc. exponential growth is when the pattern is like multiplied by a number or it is doubled from the previous number. for example 2,4,8,16,32 etc...
An exponential growth pattern is like a linear pattern. A linear pattern is adding the same number to the previous. Exponential is multiplying the same number to the previous. The table below is an example of a exponential table:
Square # of Rubas
1 1
2 2
3 4
4 8
5 16
6 32
7 64
8 128
9 256
10 512
Exponential growth patterns they can be used in graphs and tables. They both also have variables. They are different because the exponential equations can grow faster.
in the exponential the number is being multiplied by its selfi
1. Describe an exponential growth pattern. Include key properties such as growth factors.
An exponential growth pattern is basic. All it really is are R=3^n....so it would look like a cliff and the pattern will be multiplied by N.
2. How are exponential growth patterns similar to and different from the linear growth patterns you worked with in earlier units?
The to patterns are different because the exponential growth pattern multiplies by the Nth number and the liner pattern is adding by the N number that is subtracted by the y-intercept.
i would say they are similar because they both go up and can be multiplied.
THE NUMBERS ARE BEING MULTIPLED BY ITS OWN NUMBERS.
THEY ARE SIMILAR BECAUSE THEY GO UP BY THE SAME NUMBER.
THEY ARE DIFFERANT BECAUSE THE NUMBERS ARE BEING MULTIPLIED NOT ADDED.
1. An exponential growth pattern is a pattern that you continue by multiplying by a certain same number. Exponential growth patterns are similar to linear growth patterns because they are being either added or multiplied by a same number. Exponential growth patterns are different from linear because linear growth patterns are being added by a same number. In exponential growth patters you are multiplying by a same number.
1) I think that a exponential growth pattern is that you would multiply a number by its own self.
2)The way I think that Exponential Growth pattern is similar and different from linear growth pattern is that one is adding and one is subtracting.
1)an exponential growth patter would be that the number is begin multiplied by the same number.
2the are similar because the could be put in a table and they also have variables .
1.) i think that an exponentail growth pattern means a simplir way of figuring out an eqaution for example: you can write 2x2x2x2x2 as 2^5 witch means 2 to the 5th power.
2.) the exponentail g pattern is simalr to the linear g patterns beacuse they both multiple by a constant rate the diffrence of the two is that the EGP is drawn as a sort of nike sign on the graph and the LGP is drawn as an positive slope.
the Exponential gorwth pattern is like a diffrent way of doing equations tables and graphs because the equations are way diffrent from before and it also it diffrent in the way you find the equation I think that they are both diffrent because the inear pattern shows a constant rate and the exponetial go by the same number but it is not called a constant rate
This is bella's opinon
an exponential growth pattern does not go by an constant rate and on an graph it i multiplied unlike an liner graph which is added.
2.they are different because 1 is adding the other is multiplying they ae similar because they both can go by constant rate
1|exponential growth pattern can grow bigger and bigger each time. Like it can go by 5s or 10 and more its just multiplied.
2|they are similar because they are multiplied bye the same number each time and stays at a constant rate.
1. An exponential growth pattern is when each number is multiplied by the same number.
2. Exponential growth patterns is similar and different from linear growth patterns. They are similar because if your looking at the constant rate your multiplying by the same number whereas when you look at linear growth constant rate you are adding by the same number. But they are, in a way, different from each other, because sometimes there equations are written out in different form.
1. An exponential growth pattern is when a number goes up. If you have 2^5 as a problem. You know that you have to do something to solve it. 2*2*2*2*2 it's a pattern because you multiply by 2 each time.
2. It's similar to linear growth patterns because it can go up at a constant rate. Just now i said, 2^5 is a pattern. It's also linear because if you make a graph. the graph goes up *2 from the previous number.
The Exponential growth pattern the numbers are multiplied by the same number.
the exponential growth patterns are similar to a linear growth is that the numbers goes up the same& the base doesn't change (example :3to the n power minus 1 ).the only thing that change is the rest of the equation
1) What I believe that a exponential growth pattern is number that you have on your table multiplied by the same number.
2) The difference between a linear growth pattern from a exponential growth pattern is a linear graph is a straight line through out the hole graph but an exponential graph start off linear then it starts to go up. The reason for that is because when multiplied a number with that same number it start to go higher and higher. But with a linear graph it goes by a constant rate.
An exponential growth pattern is a pattern at which a rate grows using exponents.
Exponential growth patterns are similar to linear growth patterns because linear go straight and exponential starts off straight but what makes them different is how linear stay straight while exponential curves up
1.-->EXPONENTIAL GROWTH PATTERNS IS A PATTERN THAT YOU CONTINUE BY MULTIPLYING THE SAME NUMBERS INSTEAD OF ADDING THE NUMBERS.
2.-->EXPONENTIAL GROWTH PATTERNS ARE SIMILAR BECAUSE THEY GO UP THE SAME NUMBER THEY DON'T CHANGE THE NUMBERS. && THE DIFFERENT IS THAT IT INCREASE INSTEAD OF DECREASE.
1)An exponential growth pattern is when the number is multiplied by the same number.
2)Exponential growth patterns are similar to linear growth patterns in some ways because in a table they go by the same number . But then again it is different in a linear growth pattern you add by the same number and in a exponential growth you have t multiplied by the same number.
1.In Exponential Growth Patterns the numbers grows faster and the number gets bigger.Also we have to multiply
2. They are similar because we both use them in graphs and tables. Also they are similar because we have to make equations.
They are different because the equations we use exponets.
Exponential growth pattern is being multiplied by the number that is going by in the table. Exponential growth pattern are similar to liner growth patter because they both go varibles and a exponential growth patter could start very slow but then it start going really fast and liner go straight from the beginning and Exponential growth patters multiplied and liner patters you need to add.
1.)An exponential growth pattern is always by multiplied by the same number.
2.)The exponential growth pattern are similar because they go up by the same number. It is not different because the number doesn't change the only thing that change is the operation (order of the numbers).
Exponential Growth is a pattern of change that deals with rates that don't change by the same amount. The numbers are multiplied by the same number but each time there is a different outcome that changes the pattern. The key concepts used in exponential growth are equations, tables and graphs. Tables most of all help you to recognize the pattern and solve for the equation behind it. Exponential patterns are way different from linear pattersn fo this reason:
* Linear patters show constant rates through numbers
* Exponential patterns do not show constant rates, instead they show multiplication differences (multiplying one number by another)
Exponential and Linear differ and you can also see that in graph's.
1.) In an exponential growth the numbers go up by being multiplied by the same number. a good example of this is in Investigation 1.2 with the rubas.
2.) In a linear growth the graph has a constant rate that it goes up by. But then in exponential growth the graph goes up by the number being multiplied. (Linear is adding by the same number and exponential is multiply by the same number.)
!}The exponential growth pattern is a equation but instead of the numbers being at for example(y=2x+4) it's r=2to the nth power minus 1. basicly the numbers keep getting higher than the number before or to make it shorted number being multiplied by the excat same number
2)the way they are similar are becase they both have to do with equations but there variables are either adding, subtracking, or multiplying.
1. One exponential growth pattern is 2 to the 5 power. The bass of the equation is 2 & the exponent is 5.
2. It is different is because the equations got difficult as we go along.
1. An exponential growth pattern is a number or growth factor being multipled repeatedly. You could use make an exponential growth pattern by makeing a equation.
2. They are simular to a linear growth pattern because they involve table equations and more. They are not similar because the exponential growth pattern goes up multiplying. The linear growth pattern goes up by adding.
What ans exponential growth pattern is the main number that the equation goes by. the reason why they are similar is because they both have to go up by that number. That it is being told in an equation.
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