To determine how much Lyle will pay this month for 11 movies, we first calculate the cost per movie and then scale it up.

Step 1: Find the cost per movie

Lyle paid $26.91 last month for watching 9 movies.
The cost per movie is calculated as: $\text{Cost per movie} = \frac{\text{Total cost}}{\text{Number of movies}} = \frac{26.91}{9} = 2.99$ Thus, the cost per movie is $2.99.

Step 2: Calculate the cost for 11 movies

Now, Lyle plans to watch 11 movies this month. Multiply the cost per movie by 11: $\text{Total cost} = \text{Cost per movie} \times \text{Number of movies} = 2.99 \times 11 = 32.89$ Thus, the total cost for 11 movies is $32.89.

Final Answer:

Lyle will pay $32.89.

Let me know if you'd like further clarifications!
Here are some related questions to expand your understanding:

1. If Lyle watches 15 movies next month, how much will he pay?
2. What would be the cost per movie if Lyle's total payment was $45 for 15 movies?
3. If the streaming service offers a discount of 10%, how much will Lyle pay for 11 movies?
4. What is the total cost if the cost per movie is $3.50 and Lyle watches 12 movies?
5. If Lyle pays a fixed fee of $20 and then $1 per movie, how much will he pay for 11 movies?

Tip: Always double-check unit rates when scaling up or down!