i’m doing big ideas too smh. you will keep change flip. and change them to an improper fraction.
so improper fraction times (flipped) other fraction
Answer:
its kinda dificult to explain (easier to show) but ill do my best
Step-by-step explanation:
so for part a you wanna start from the bottom (min) and go acros to the line above 1 then go three lines up for cookies. you should be on 3, 1
for part b its c lin decorates 21 cookies in 7 min
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)
As
![x](https://tex.z-dn.net/?f=x)
increases, [y] is expected to increase.