Answer :
To determine which value of the variable [tex]\( w \)[/tex] satisfies the equation [tex]\(\$11.00 = \$16.00 - w\)[/tex], we will test each given option from the set [tex]\(\{\$4.00, \$5.00, \$6.00, \$7.00\}\)[/tex].
Our goal is to find if any value of [tex]\( w \)[/tex] makes the equation true.
1. Check [tex]\( w = \$4.00 \)[/tex]:
[tex]\[
16.00 - 4.00 = 12.00
\][/tex]
Since 12.00 does not equal 11.00, [tex]\( w = \$4.00 \)[/tex] is not a solution.
2. Check [tex]\( w = \$5.00 \)[/tex]:
[tex]\[
16.00 - 5.00 = 11.00
\][/tex]
Since 11.00 equals 11.00, [tex]\( w = \$5.00 \)[/tex] is the solution.
3. Check [tex]\( w = \$6.00 \)[/tex]:
[tex]\[
16.00 - 6.00 = 10.00
\][/tex]
Since 10.00 does not equal 11.00, [tex]\( w = \$6.00 \)[/tex] is not a solution.
4. Check [tex]\( w = \$7.00 \)[/tex]:
[tex]\[
16.00 - 7.00 = 9.00
\][/tex]
Since 9.00 does not equal 11.00, [tex]\( w = \$7.00 \)[/tex] is not a solution.
After checking each option, the value from the set that satisfies the equation is [tex]\(\$5.00\)[/tex].
Thus, the solution to the equation is:
B. [tex]\(\$5.00\)[/tex]
Our goal is to find if any value of [tex]\( w \)[/tex] makes the equation true.
1. Check [tex]\( w = \$4.00 \)[/tex]:
[tex]\[
16.00 - 4.00 = 12.00
\][/tex]
Since 12.00 does not equal 11.00, [tex]\( w = \$4.00 \)[/tex] is not a solution.
2. Check [tex]\( w = \$5.00 \)[/tex]:
[tex]\[
16.00 - 5.00 = 11.00
\][/tex]
Since 11.00 equals 11.00, [tex]\( w = \$5.00 \)[/tex] is the solution.
3. Check [tex]\( w = \$6.00 \)[/tex]:
[tex]\[
16.00 - 6.00 = 10.00
\][/tex]
Since 10.00 does not equal 11.00, [tex]\( w = \$6.00 \)[/tex] is not a solution.
4. Check [tex]\( w = \$7.00 \)[/tex]:
[tex]\[
16.00 - 7.00 = 9.00
\][/tex]
Since 9.00 does not equal 11.00, [tex]\( w = \$7.00 \)[/tex] is not a solution.
After checking each option, the value from the set that satisfies the equation is [tex]\(\$5.00\)[/tex].
Thus, the solution to the equation is:
B. [tex]\(\$5.00\)[/tex]
