2uestion 7 ( 5 points) Tina has been dieting for a total of 13 weeks. She lost 3 pounds on the first week her diet, but gained back a pound on the second week. On each remaining week her diet, she lost 2 pounds. How many pounds has Tina lost in all?

To calculate the total weight Tina has lost over the 13 weeks, we can break it down as follows: 1. **First week**: Tina lost 3 pounds. 2. **Second week**: Tina gained back 1 pound, so her net loss after two weeks is: \[ 3 - 1 = 2 \text{ pounds} \] 3. **Remaining weeks**: There are \( 13 - 2 = 11 \) weeks left. In each of these weeks, she lost 2 pounds. Therefore, the total weight lost in these 11 weeks is: \[ 11 \times 2 = 22 \text{ pounds} \] 4. **Total weight lost**: Now, we add the weight lost in the first two weeks to the weight lost in the remaining weeks: \[ 2 + 22 = 24 \text{ pounds} \] Thus, Tina has lost a total of **24 pounds**.