The exponential model would take the form:
![y=Ae^{kt} ](https://tex.z-dn.net/?f=y%3DAe%5E%7Bkt%7D%0A)
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
![8 = 2e^{k*3}](https://tex.z-dn.net/?f=8%20%3D%202e%5E%7Bk%2A3%7D)
![k = \frac{ln(4)}{3}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7Bln%284%29%7D%7B3%7D%20)
Now, plugging in 6 days:
![y = 2e^{ \frac{ln(4)}{3}*6}](https://tex.z-dn.net/?f=y%20%3D%202e%5E%7B%20%5Cfrac%7Bln%284%29%7D%7B3%7D%2A6%7D%20)
![y = 32](https://tex.z-dn.net/?f=y%20%3D%2032)
The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17
Thus, the exponential is almost double the result of the linear! Hope that helps.
a) Match the graph shown with one of the following equations.
b) Which one of the following points lies on the line 3y = 2x - 1?
The answer is (2,1)
The awnser is C,............
Equilateral triangle means all sides have equal length.
Perimeter
As a sum: (x-4.5)+(x-4.5)+(x-4.5)
As a product: 3 * (x-4.5)
They are equivalent because 3 times a number is just the sum of three of the number.