Answer:
![y=4(3)^x](https://tex.z-dn.net/?f=y%3D4%283%29%5Ex)
Step-by-step explanation:
From the table given in the question,
x y Difference Ratio
1 12 - -
2 36 36-12 = 24 ![\frac{36}{12}=3](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B12%7D%3D3)
3 108 108-36 = 72 ![\frac{108}{36}=3](https://tex.z-dn.net/?f=%5Cfrac%7B108%7D%7B36%7D%3D3)
4 324 324-108 = 216 ![\frac{324}{108}=3](https://tex.z-dn.net/?f=%5Cfrac%7B324%7D%7B108%7D%3D3)
5 972 972-324 = 648 ![\frac{648}{216}=3](https://tex.z-dn.net/?f=%5Cfrac%7B648%7D%7B216%7D%3D3)
There is a common ratio of 3 in each successive term.
Therefore, data given in the table will represent an exponential function.
![y=a(b)^x](https://tex.z-dn.net/?f=y%3Da%28b%29%5Ex)
For a point ![(1, 12),](https://tex.z-dn.net/?f=%281%2C%2012%29%2C)
![12=a(b)^1](https://tex.z-dn.net/?f=12%3Da%28b%29%5E1)
------(1)
For another point of the table
,
![36=a(b)^2](https://tex.z-dn.net/?f=36%3Da%28b%29%5E2)
--------(2)
Equation (2) divided by equation (1)
![\frac{ab^2}{ab}=\frac{36}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Bab%5E2%7D%7Bab%7D%3D%5Cfrac%7B36%7D%7B12%7D)
![b=3](https://tex.z-dn.net/?f=b%3D3)
From equation (1),
![3a=12](https://tex.z-dn.net/?f=3a%3D12)
![a=4](https://tex.z-dn.net/?f=a%3D4)
Therefore, exponential function will be,
![y=4(3)^x](https://tex.z-dn.net/?f=y%3D4%283%29%5Ex)
I’m not sure but i really really really like points!!!!
Greatest Common Factors (GCF) can help you in real life problems with fractions and measuring things. Below is a real life example.
Let's say you want to send cookies into one of two classes and want to make sure you have an even number per student. You know that one class has 8 students and the other has 10 students. How many cookies do you make?
Answer: All you have to do is figure out the biggest number that goes into each number equally (division). In this case the answer would be 2.
If i helped please comment below smiley And i hope i helped you!
The answer would be C+A= $85 or A+C=$85
Explanation: Candaces total money + Amar’s total money equals out to $85, it can be wrote either way and still equal $85.
Answer:
A
Step-by-step explanation:
the "-" sign simply turns everything upside-down. what was above the x-axis is now below it. and vice versa. hence, a reflection over the x-axis.
the "+6" moves then everything up by 6 units. which is a vertical shift up by 6 units.