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The chart below shows the economic costs of two school lunches:

| | Current Lunch | Healthier Lunch |
|--------------------|---------------|-----------------|
| Main Course | [tex]$1.15 | $[/tex]1.85 |
| Side Dish | [tex]$0.30 | $[/tex]0.90 |
| Dessert | [tex]$0.30 | $[/tex]0.10 |
| Beverage | [tex]$0.30 | $[/tex]0.05 |
| Total | $2.05 | |

The smallest price difference between the two lunches is found in the
A. beverage.
B. main course.
C. dessert.
D. side dish.



Answer :

GinnyAnswer
Alright, let's tackle this problem by examining the given data step-by-step for each component of the lunch.

We are comparing the economic costs of a current lunch with a healthier lunch. Here are the costs breakdown:

1. Main course:
- Current lunch: \[tex]$1.15 - Healthier lunch: \$[/tex]1.85

2. Side dish:
- Current lunch: \[tex]$0.30 - Healthier lunch: \$[/tex]0.90

3. Dessert:
- Current lunch: \[tex]$0.30 - Healthier lunch: \$[/tex]0.10

4. Beverage:
- Current lunch: \[tex]$0.30 - Healthier lunch: \$[/tex]0.05

Now, let's determine the price differences for each category:

- Main course:
- Difference: [tex]\(|1.15 - 1.85| = 0.70\)[/tex]

- Side dish:
- Difference: [tex]\(|0.30 - 0.90| = 0.60\)[/tex]

- Dessert:
- Difference: [tex]\(|0.30 - 0.10| = 0.20\)[/tex]

- Beverage:
- Difference: [tex]\(|0.30 - 0.05| = 0.25\)[/tex]

With the price differences calculated, let's summarize them:

- Main course: \[tex]$0.70 - Side dish: \$[/tex]0.60
- Dessert: \[tex]$0.20 - Beverage: \$[/tex]0.25

We see from these calculations that the smallest price difference is \$0.20, which corresponds to the dessert.

So, the smallest price difference between the two lunches is found in the dessert.

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