Write the linear inequality shown in the graph.

Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format. 
Y=mx+b
y 3x-4. <-----In this equation, the slope(m)=3 b= -4. 

On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.

The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.  
For example, I'll choose to plug in (-4,4) into the y 3x-4. 
y 3x-4. 
(4) (3(-4))-4. 
(4) (-12)-4. 
(4) -16

So, this statement is true becasue -16 is less than positive 4.  Therefore, the correct answer would be y 3x-4. Hope that helped! Comment back with any further questions!

Initial value 3/2

Exponential decay

Step-by-step explanation:

Exponential decay has the following formula:

f(t) = a(1-r)^t

where

a = initial value

r = rate of decrease

t = time

If the value inside of the parenthesis is less than 1, then the formula models exponential decay.

If the value inside of the parenthesis is more than 1, then the formula models exponential growth.