Sure, let's solve the given problem step-by-step.
Given the function:
[tex]\[ f(x) = 25x + 200 \][/tex]
The problem asks us to evaluate this function for a specific value of [tex]\( x \)[/tex]. Let's try evaluating it for [tex]\( x = 1 \)[/tex].
Step 1: Substitute [tex]\( x = 1 \)[/tex] into the function
[tex]\[ f(1) = 25(1) + 200 \][/tex]
Step 2: Perform the multiplication
[tex]\[ 25 \times 1 = 25 \][/tex]
Step 3: Add 200 to the result from Step 2
[tex]\[ 25 + 200 = 225 \][/tex]
So, the value of the function [tex]\( f(x) \)[/tex] when [tex]\( x = 1 \)[/tex] is:
[tex]\[ f(1) = 225 \][/tex]
Thus, the final answer is:
[tex]\[ 225 \][/tex]
