Find Three Ordered Pair Solutions f(x)=238(0.16)^x

$f (x) = 238 {(0.16)}^{x}$

Step 1

Write $f (x) = 238 {(0.16)}^{x}$ as an equation.

$y = 238 {(0.16)}^{x}$

Step 2

Remove parentheses.

$y = 238 \cdot {0.16}^{x}$

Step 3

Choose any value for $x$ that is in the domain to plug into the equation.

Step 4

Choose $0$ to substitute in for $x$ to find the ordered pair.

Simplify $238 \cdot {0.16}^{0}$ .

Anything raised to $0$ is $1$ .

$y = 238 \cdot 1$

Multiply $238$ by $1$ .

$y = 238$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 238)$

Step 5

Choose $1$ to substitute in for $x$ to find the ordered pair.

Simplify $238 \cdot {0.16}^{1}$ .

Evaluate the exponent.

$y = 238 \cdot 0.16$

Multiply $238$ by $0.16$ .

$y = 38.08$

Use the $x$ and $y$ values to form the ordered pair.

$(1, 38.08)$

Step 6

Choose $2$ to substitute in for $x$ to find the ordered pair.

Simplify $238 \cdot {0.16}^{2}$ .

Raise $0.16$ to the power of $2$ .

$y = 238 \cdot 0.0256$

Multiply $238$ by $0.0256$ .

$y = 6.0928$

Use the $x$ and $y$ values to form the ordered pair.

$(2, 6.0928)$

Step 7

These are three possible solutions to the equation.

$(0, 238), (1, 38.08), (2, 6.0928)$

Step 8