Step-by-step explanation:
Since
The function has a constant factor so we have a exponential function.
The equation of a exponential function is
Where a is the initial value and b is the growth factor
The growth factor is 3/2,
The initial value in 32
Plug in 4 for x.
You will get 162
Plug in 5 for x you will get
243.
2013- 162
2014- 243
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut point with the y axis.
By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be
We substitute the given point to find b:
Finally the line is:
Answer: