To find the new cost for 3 orders of popcorn and 3 drinks, we first calculate the discounted price of popcorn when it is being sold for half price.
The original cost of popcorn is $3.50, so the half price would be:
\[
\text{Half Price of Popcorn} = \frac{3.50}{2} = 1.75
\]
Now, if we need to find the cost for 3 orders of popcorn at this new price, we multiply the half price by 3:
\[
\text{Cost of 3 Popcorns} = 3 \times 1.75 = 5.25
\]
Next, we also need the cost for 3 drinks. The cost of one drink is $1.35, so the total cost for 3 drinks will be:
\[
\text{Cost of 3 Drinks} = 3 \times 1.35 = 4.05
\]
Now, we can combine the total costs for popcorn and drinks:
\[
\text{Total Cost} = 5.25 + 4.05
\]
However, we need to express this calculation with an algebraic expression that matches the options provided in your question.
The correct expression that represents the total cost for 3 orders of half-priced popcorn and 3 drinks can be set up as:
\[
3 \left(\frac{3.50}{2}\right) + 3(1.35)
\]
None of the options directly match what we've calculated, but the closest interpretation of our total cost includes reducing the popcorn price first and summing it with the drinks, which resembles the option:
**1/2 × (3.50) × 3 + 3 × (1.35)**
This indicates that \(3 \times \frac{3.50}{2} + 3 \times 1.35\) can be interpreted as the correct formula for cost calculation.
Therefore, the expression can be interpreted as:
\[
3 \left(\frac{3.50}{2}\right) + 3(1.35)
\]
If rephrased in a format similar to the options given:
- **1/2 × (3.50) × 3 + 3 ×(1.35)**.