The table models an exponential relationship, and the equation of the table is 
<h3>How to analyze the table of values?</h3>
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:

When x = 0 and y = 4, we have

Evaluate
a = 4
When x = 1 and y = 2, we have

Evaluate

Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in 

Hence, the equation of the table is 
Read more about exponential models at:
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Answer:
x = 5/2
Step-by-step explanation:
Solve for x:
(5 x)/2 = 25/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (5 x)/2 = 25/4 by 2/5:
(2×5 x)/(5×2) = 2/5×25/4
Hint: | Express 2/5×5/2 as a single fraction.
2/5×5/2 = (2×5)/(5×2):
(2×5)/(5×2) x = 2/5×25/4
Hint: | Express 2/5×25/4 as a single fraction.
2/5×25/4 = (2×25)/(5×4):
(2×5 x)/(5×2) = (2×25)/(5×4)
Hint: | Cancel common terms in the numerator and denominator of (2×5 x)/(5×2).
(2×5 x)/(5×2) = (5×2)/(5×2)×x = x:
x = (2×25)/(5×4)
Hint: | In (2×25)/(5×4), divide 25 in the numerator by 5 in the denominator.
25/5 = (5×5)/5 = 5:
x = (2×5)/4
Hint: | In (2×5)/4, divide 4 in the denominator by 2 in the numerator.
2/4 = 2/(2×2) = 1/2:
Answer: x = 5/2