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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