To solve the equation [tex]\( y = 3x - 5 \)[/tex] for an input value of [tex]\( x = 4 \)[/tex], we need to substitute [tex]\( 4 \)[/tex] for [tex]\( x \)[/tex] in the equation and then simplify.
1. Start with the original equation:
[tex]\[
y = 3x - 5
\][/tex]
2. Substitute [tex]\( 4 \)[/tex] for [tex]\( x \)[/tex]:
[tex]\[
y = 3(4) - 5
\][/tex]
3. Multiply [tex]\( 3 \)[/tex] by [tex]\( 4 \)[/tex]:
[tex]\[
y = 12 - 5
\][/tex]
4. Subtract [tex]\( 5 \)[/tex] from [tex]\( 12 \)[/tex]:
[tex]\[
y = 7
\][/tex]
So, when the input [tex]\( x \)[/tex] is [tex]\( 4 \)[/tex], the output [tex]\( y \)[/tex] is [tex]\( 7 \)[/tex].
Hence, the correct option is:
7
