To determine the largest price difference between the current lunch and the healthier lunch, we need to examine the individual price differences for each item in the lunch categories: Main course, Side dish, Dessert, and Beverage.
1. Main course:
- Current lunch cost: [tex]\( \$1.15 \)[/tex]
- Healthier lunch cost: [tex]\( \$1.85 \)[/tex]
- Price difference: [tex]\( \$1.85 - \$1.15 = \$0.70 \)[/tex]
2. Side dish:
- Current lunch cost: [tex]\( \$0.30 \)[/tex]
- Healthier lunch cost: [tex]\( \$0.90 \)[/tex]
- Price difference: [tex]\( \$0.90 - \$0.30 = \$0.60 \)[/tex]
3. Dessert:
- Current lunch cost: [tex]\( \$0.30 \)[/tex]
- Healthier lunch cost: [tex]\( \$0.10 \)[/tex]
- Price difference: [tex]\( \$0.30 - \$0.10 = \$0.20 \)[/tex]
4. Beverage:
- Current lunch cost: [tex]\( \$0.30 \)[/tex]
- Healthier lunch cost: [tex]\( \$0.05 \)[/tex]
- Price difference: [tex]\( \$0.30 - \$0.05 = \$0.25 \)[/tex]
After calculating the price differences, we can compare them:
- Main course: [tex]\( \$0.70 \)[/tex]
- Side dish: [tex]\( \$0.60 \)[/tex]
- Dessert: [tex]\( \$0.20 \)[/tex]
- Beverage: [tex]\( \$0.25 \)[/tex]
The largest price difference is in the Main course category with a difference of [tex]\( \$0.70 \)[/tex].
Thus, the answer is:
main course.
