ANSWER:
Eric will reduce a total of 24 pounds in 12 weeks.
Step-by-step 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:
![(6pounds)/(3weeks)=(x)/(12weeks)](https://img.qammunity.org/2023/formulas/mathematics/college/9n85tonmzojbihfa8lffpfzyweviw3stv2.png)
To solve for x, cross-multiply both sides of the equation first.
![6*12=3x](https://img.qammunity.org/2023/formulas/mathematics/college/9x1a7gvzkvt7s6lvald7el2pwlekewo8pf.png)
![72=3x](https://img.qammunity.org/2023/formulas/mathematics/college/2bqwxhige7lvg8pg33g0nnsv4wu07pw4si.png)
Then, divide both sides by 3.
![(72)/(3)=(3x)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/k1mia0e6jt2yv88485p551jnf5y0idpg2g.png)
![24=x](https://img.qammunity.org/2023/formulas/mathematics/college/px02gqndr5buikxr8vtu4pj0rad29mnl6j.png)
The value of x is 24. Hence,