The table models an exponential relationship, and the equation of the table is
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
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The value of x must be 25.0. The correct option is the second option- 25.0
<h3>Solving Linear equations </h3>From the question, we are to determine the value of x
From the given diagram, we can write that
m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0
Hence, the value of x must be 25.0. The correct option is the second option- 25.0
Learn more Solving linear equations here: brainly.com/question/1413277
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