The graph is an illustration of an exponential function
The coordinates at points A, B and C are (2,640), (3,512) and (4,409.6)
How to determine the missing coordinates
An exponential function is represented as:
[tex]y = ab^x[/tex]
At point (0,1000), we have:
[tex]ab^0 = 1000[/tex]
This gives
[tex]a = 1000[/tex]
At point (1,800), we have:
[tex]ab^1 = 800[/tex]
This gives
[tex]ab = 800[/tex]
Substitute 1000 for a
[tex]1000b = 800[/tex]
Divide both sides by 1000
[tex]b = 0.8[/tex]
Recall that:[tex]y = ab^x[/tex]
So, we have:
[tex]y =1000(0.8)^x[/tex]
At point A, we have: x = 2.
So, the equation becomes
[tex]y =1000(0.8)^2[/tex]
[tex]y =640[/tex]
At point B, we have: x = 3.
So, the equation becomes
[tex]y =1000(0.8)^3[/tex]
[tex]y =512[/tex]
At point C, we have: x = 4.
So, the equation becomes
[tex]y =1000(0.8)^4[/tex]
[tex]y =409.6[/tex]
Hence, the coordinates at points A, B and C are (2,640), (3,512) and (4,409.6)
Read more about exponential functions at:
https://brainly.com/question/11464095
