To determine the smallest price difference between the components of the two lunches—current lunch and healthier lunch—we'll go step-by-step through the cost comparison for each component and find the differences.
Here are the costs from the chart:
- Main course:
- Current lunch: \[tex]$1.15
- Healthier lunch: \$[/tex]1.85
Difference: [tex]\( \$1.85 - \$1.15 = \$0.70 \)[/tex]
- Side dish:
- Current lunch: \[tex]$0.30
- Healthier lunch: \$[/tex]0.90
Difference: [tex]\( \$0.90 - \$0.30 = \$0.60 \)[/tex]
- Dessert:
- Current lunch: \[tex]$0.30
- Healthier lunch: \$[/tex]0.10
Difference: [tex]\( \$0.10 - \$0.30 = -\$0.20 \)[/tex]
- Beverage:
- Current lunch: \[tex]$0.30
- Healthier lunch: \$[/tex]0.05
Difference: [tex]\( \$0.05 - \$0.30 = -\$0.25 \)[/tex]
Next, we compare these differences to find the smallest one:
- Main course: \[tex]$0.70
- Side dish: \$[/tex]0.60
- Dessert: -\[tex]$0.20
- Beverage: -\$[/tex]0.25
The smallest difference, in absolute value, is -\$0.25, which corresponds to the beverage.
Therefore, the smallest price difference between the two lunches is found in the beverage.
