To determine the output value of the function [tex]\( y = 2x + 0.5 \)[/tex] for an input value of [tex]\( x = 4.5 \)[/tex], follow these steps:
1. Substitute the input value into the equation:
[tex]\[
y = 2(4.5) + 0.5
\][/tex]
2. Perform the multiplication:
[tex]\[
2 \times 4.5 = 9
\][/tex]
3. Add the constant term:
[tex]\[
9 + 0.5 = 9.5
\][/tex]
Therefore, the output value of the function for an input of [tex]\( x = 4.5 \)[/tex] is [tex]\( 9.5 \)[/tex].
Out of the provided options, the correct output value is [tex]\( 9.5 \)[/tex].
