Identify the exponential function for this graph

Option: A is the correct answer.

Step-by-step explanation:

Clearly from the graph we could observe that the graph is a decay exponential function as the graph of the function is decreasing with the increasing value of x.

Hence, the rate has to be less than 1.

So, option: B and D are ruled out as they represent a growth exponential function.

Also from the graph given in the question we could observe that when x=0 the value of y is:

y=4

So, the exponential function that is represented by the graph is:

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer