Let’s solve for [tex]\( UW \)[/tex] when [tex]\( x \)[/tex] takes on the following values: 5 units, 6 units, 30 units, and 36 units.
Given the equation:
[tex]\[ UW = 9x - 9 \][/tex]
1. For [tex]\( x = 5 \)[/tex] units:
[tex]\[ UW = 9(5) - 9 \][/tex]
[tex]\[ UW = 45 - 9 \][/tex]
[tex]\[ UW = 36 \][/tex]
So, when [tex]\( x = 5 \)[/tex] units, [tex]\( UW = 36 \)[/tex] units.
2. For [tex]\( x = 6 \)[/tex] units:
[tex]\[ UW = 9(6) - 9 \][/tex]
[tex]\[ UW = 54 - 9 \][/tex]
[tex]\[ UW = 45 \][/tex]
So, when [tex]\( x = 6 \)[/tex] units, [tex]\( UW = 45 \)[/tex] units.
3. For [tex]\( x = 30 \)[/tex] units:
[tex]\[ UW = 9(30) - 9 \][/tex]
[tex]\[ UW = 270 - 9 \][/tex]
[tex]\[ UW = 261 \][/tex]
So, when [tex]\( x = 30 \)[/tex] units, [tex]\( UW = 261 \)[/tex] units.
4. For [tex]\( x = 36 \)[/tex] units:
[tex]\[ UW = 9(36) - 9 \][/tex]
[tex]\[ UW = 324 - 9 \][/tex]
[tex]\[ UW = 315 \][/tex]
So, when [tex]\( x = 36 \)[/tex] units, [tex]\( UW = 315 \)[/tex] units.
In conclusion, the values of [tex]\( UW \)[/tex] are:
- For [tex]\( x = 5 \)[/tex] units, [tex]\( UW = 36 \)[/tex] units.
- For [tex]\( x = 6 \)[/tex] units, [tex]\( UW = 45 \)[/tex] units.
- For [tex]\( x = 30 \)[/tex] units, [tex]\( UW = 261 \)[/tex] units.
- For [tex]\( x = 36 \)[/tex] units, [tex]\( UW = 315 \)[/tex] units.
