The table models an exponential relationship, and the equation of the table is [tex]y = 4(1/2)^x[/tex]
How to analyze the table of values?
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
[tex]y = ab^x[/tex]
When x = 0 and y = 4, we have
[tex]ab^0 = 4[/tex]
Evaluate
a = 4
When x = 1 and y = 2, we have
[tex]ab^1 = 2[/tex]
Evaluate
[tex]ab = 2[/tex]
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in [tex]y = ab^x[/tex]
[tex]y = 4(1/2)^x[/tex]
Hence, the equation of the table is [tex]y = 4(1/2)^x[/tex]
Read more about exponential models at:
https://brainly.com/question/11464095
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