Step-by-step explanation:
Since
[tex] \frac{108}{72} = \frac{3}{2} [/tex]
[tex] \frac{72}{48} = \frac{3}{2} [/tex]
[tex] \frac{48}{32} = \frac{3}{2} [/tex]
The function has a constant factor so we have a exponential function.
The equation of a exponential function is
[tex]y = a(b) {}^{x} [/tex]
Where a is the initial value and b is the growth factor
The growth factor is 3/2,
The initial value in 32
[tex]y = 32 ( \frac{3}{2} ) {}^{x} [/tex]
Plug in 4 for x.
You will get 162
Plug in 5 for x you will get
243.
2013- 162
2014- 243
