To determine the ordered pair for the point on the graph of the function \( f(x) = x + 7 \) where \( x = 2b \), we can follow these steps:
1. Identify the given function and the variable substitution:
- The function is \( f(x) = x + 7 \).
- We are given that the point of interest occurs where \( x = 2b \).
2. Substitute \( x \) with \( 2b \) in the function:
- Replace \( x \) in the function \( f(x) \) with \( 2b \).
3. Calculate the corresponding \( y \)-value:
- The function now becomes \( f(2b) = 2b + 7 \).
4. Form the ordered pair:
- The ordered pair consists of the \( x \)-value and the corresponding \( y \)-value.
- Since \( x = 2b \) and \( y = 2b + 7 \), the ordered pair is \( (2b, 2b + 7) \).
Therefore, the correct ordered pair for the point on the graph where [tex]\( x = 2b \)[/tex] is [tex]\( (2b, 2b + 7) \)[/tex].
