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.)

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.)

Solution

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}\$

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