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If [tex]UW = 9x - 9[/tex], what is UW in units?

A. 5 units
B. 6 units
C. 30 units
D. 36 units

Sagot :

GinnyAnsweridn
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.