Answered

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Analyze the following table of values.

y=1/2x
y=1/2^x2+4
y=4^x2+1/2
y=4(1/2)x

Analyze The Following Table Of Values Y12x Y12x24 Y4x212 Y412x class=

Sagot :

MrRoyal

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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