Answer:
Option D.
Jenn's answer is not correct. She got it substituting [tex]c=4[/tex] into the equation and solving for "x".
Step-by-step explanation:
Given the following equation:
[tex]\frac{1}{2}(2x + 4) = 3x-c[/tex]
Since you need that [tex]x=4[/tex], you hace to substitute that value into the equation:
[tex]\frac{1}{2}(2(4) + 4) = 3(4)-c[/tex]
Now you need to solve for "c":
[tex]\frac{1}{2}(8 + 4) = 12-c\\\\\frac{12}{2}= 12-c\\\\6=12-c\\\\c+6=12\\\\c=12-6\\\\c=6[/tex]
Therefore for a a value of [tex]c=6[/tex], you get [tex]x=4[/tex]
Then, the you can identify that the correct answer is the one given in the Option D.
Jenn made a mistake, because she substituted [tex]c=4[/tex] into the equation and then solve for "x":
[tex]\frac{1}{2}(2x + 4) = 3x-(4)\\\\x+2=3x-4\\\\2+4=3x-x\\\\6=2x\\\\\frac{6}{2}=x\\\\x=3[/tex]
