To find the output [tex]\( y \)[/tex] when the input [tex]\( x \)[/tex] is 6, let's proceed step-by-step through the process:
1. Identify the equation: We need an equation that relates [tex]\( y \)[/tex] and [tex]\( x \)[/tex]. For this problem, let's assume the relationship is [tex]\( y = x^2 \)[/tex]. This means [tex]\( y \)[/tex] is the square of [tex]\( x \)[/tex].
2. Substitute the value of [tex]\( x \)[/tex]: We are given the value [tex]\( x = 6 \)[/tex]. So, substitute [tex]\( x \)[/tex] with 6 into the equation [tex]\( y = x^2 \)[/tex].
3. Calculate the square of [tex]\( x \)[/tex]: Now calculate [tex]\( 6^2 \)[/tex].
[tex]\[
6^2 = 6 \times 6 = 36
\][/tex]
4. Result: The value of [tex]\( y \)[/tex] when [tex]\( x = 6 \)[/tex] is:
[tex]\[
y = 36
\][/tex]
Therefore, the output [tex]\( y \)[/tex] is [tex]\( 36 \)[/tex] when the input [tex]\( x \)[/tex] is [tex]\( 6 \)[/tex].
