Questions: Evaluate the function for the given value. y=20 * 0.5^x for x=2 y= (Simplify your answer. Type an integer or a decimal.)

Evaluate the function for the given value. y=20 * 0.5^x for x=2 y= (Simplify your answer. Type an integer or a decimal.)
Transcript text: ork: 6-3 Day 1 Exponential Decay Question 3, 7.6.16 Evaluate the function for the given value. \[ y=20 \cdot 0.5^{x} \text { for } x=2 \] $y=$ $\square$ (Simplify your answer. Type an integer or a decimal.)
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Solution

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Evaluate the function \( y = 20 \cdot 0.5^{x} \) for \( x = 2 \).

Substitute \( x = 2 \) into the function.

\( y = 20 \cdot 0.5^{2} \)

Calculate \( 0.5^{2} \).

\( 0.5^{2} = 0.25 \)

Multiply by 20.

\( y = 20 \cdot 0.25 = 5 \)

\\(\boxed{y = 5}\\)

\\(\boxed{y = 5}\\)

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