Question

Use the following function rule to find f(5). f(x) = 11.67 ( 3 ) x + 10.92 Write your answer as a decimal or whole number. f(5) =

Answer 1

To find \( f(5) \) using the function rule \( f(x) = 11.67 \cdot (3)^x + 10.92 \), we will substitute \( x = 5 \) into the equation.

First, calculate \( (3)^5 \):

\[
(3)^5 = 243
\]

Now, substitute this value into the function:

\[
f(5) = 11.67 \cdot 243 + 10.92
\]

Next, calculate \( 11.67 \cdot 243 \):

\[
11.67 \cdot 243 = 2835.81
\]

Now, add \( 10.92 \) to this result:

\[
f(5) = 2835.81 + 10.92 = 2846.73
\]

Thus,

\[
f(5) = 2846.73
\]

So, the final answer is \( \boxed{2846.73} \).