Question

Analyze the following table of values. y=1/2x y=1/2^x2+4 y=4^x2+1/2 y=4(1/2)x

Answer 1

The table models an exponential relationship, and the equation of the table is $y = 4(1/2)^x$

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:

$y = ab^x$

When x = 0 and y = 4, we have

$ab^0 = 4$

Evaluate

a = 4

When x = 1 and y = 2, we have

$ab^1 = 2$

Evaluate

$ab = 2$

Substitute 4 for a

4b  = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in $y = ab^x$

$y = 4(1/2)^x$

Hence, the equation of the table is $y = 4(1/2)^x$

Read more about exponential models at:

brainly.com/question/11464095

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