ANSWER:
Eric will reduce a total of 24 pounds in 12 weeks.
EXPLANATION:
Since Eric was on a diet, we would know that as the number of weeks increases, the number of pounds reduced will also increase. Hence, we can conclude that there is a direct relationship between the number of weeks and the number of pounds reduced.
From that, we can form the equation below:
[tex]\frac{6pounds}{3weeks}=\frac{x}{12weeks}[/tex]To solve for x, cross-multiply both sides of the equation first.
[tex]6\times12=3x[/tex][tex]72=3x[/tex]Then, divide both sides by 3.
[tex]\frac{72}{3}=\frac{3x}{3}[/tex][tex]24=x[/tex]The value of x is 24. Hence,