Evaluate the Function y=20*0.5^x for x=3

$y = 20 \cdot {0.5}^{x}$ for $x = 3$

Replace all occurrences of $x$ with $3$ in each equation.

Replace all occurrences of $x$ in $y = 20 \cdot {0.5}^{x}$ with $3$ .

$y = 20 \cdot {0.5}^{3}$

$x = 3$

Simplify the right side.

Simplify $20 \cdot {0.5}^{3}$ .

Raise $0.5$ to the power of $3$ .

$y = 20 \cdot 0.125$

$x = 3$

Multiply $20$ by $0.125$ .

$y = 2.5$

$x = 3$

$y = 2.5$

$x = 3$

$y = 2.5$

$x = 3$

$y = 2.5$

$x = 3$

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(3, 2.5)$

Related Questions