Question: Ahana swims laps on Tuesday and Thursday mornings. On Thursday she swims 1 more than twice the number of laps she swam on Tuesday.
If $x$ represents the number of laps that Ahana swam on Tuesday, select the expression that represents the total number of laps she swam on Tuesday and Thursday.
$3x - 1$
$3x + 1$
$2x + 2$
$2x + 1$
1. **State the problem:**
Ahana swims $x$ laps on Tuesday.
On Thursday, she swims 1 more than twice the number of laps she swam on Tuesday.
2. **Define variables and expressions:**
Let $x$ = number of laps on Tuesday.
Then, laps on Thursday = $2x + 1$ (twice Tuesday's laps plus 1).
3. **Find total laps swam on Tuesday and Thursday:**
Total laps = laps on Tuesday + laps on Thursday
$$\text{Total} = x + (2x + 1)$$
4. **Simplify the expression:**
$$\text{Total} = x + 2x + 1 = 3x + 1$$
5. **Conclusion:**
The expression representing the total number of laps Ahana swam on Tuesday and Thursday is $$3x + 1$$.
Therefore, the correct choice is **$3x + 1$**.