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

\begin{tabular}{|l|r|r|}
\hline
\multicolumn{2}{|c|}{Economic Cost per Lunch} \\
\hline
& \begin{tabular}{c}
Current \\
Lunch
\end{tabular}
& \begin{tabular}{c}
Healthier \\
Lunch
\end{tabular} \\
\hline
Main Course & \[tex]$1.15 & \$[/tex]1.85 \\
\hline
Side Dish & \[tex]$0.30 & \$[/tex]0.90 \\
\hline
Dessert & \[tex]$0.30 & \$[/tex]0.10 \\
\hline
Beverage & \[tex]$0.30 & \$[/tex]0.05 \\
\hline
Total & \[tex]$2.05 & \$[/tex]2.80 \\
\hline
\end{tabular}

The smallest price difference between the two lunches is found in the

A. Beverage

B. Main Course

C. Dessert

D. Side Dish



Answer :

GinnyAnswer
To determine the smallest price difference between the current lunch and the healthier lunch, let's compare the costs of each component (main course, side dish, dessert, and beverage) from both lunches.

### Given Prices:
- Current Lunch:
- Main Course: \$1.15
- Side Dish: \$0.30
- Dessert: \$0.30
- Beverage: \$0.30

- Healthier Lunch:
- Main Course: \$1.85
- Side Dish: \$0.90
- Dessert: \$0.10
- Beverage: \$0.05

### Finding the Price Differences:

1. Main Course:
[tex]\[ \text{Difference} = \left| 1.85 - 1.15 \right| = \$0.70 \][/tex]

2. Side Dish:
[tex]\[ \text{Difference} = \left| 0.90 - 0.30 \right| = \$0.60 \][/tex]

3. Dessert:
[tex]\[ \text{Difference} = \left| 0.10 - 0.30 \right| = \$0.20 \][/tex]

4. Beverage:
[tex]\[ \text{Difference} = \left| 0.05 - 0.30 \right| = \$0.25 \][/tex]

### Summary of Differences:
- Main Course: \$0.70
- Side Dish: \$0.60
- Dessert: \$0.20
- Beverage: \$0.25

From the calculations above, the smallest price difference between the two lunches is found in the dessert, which has a price difference of \$0.20.

Thus, the correct answer is:

Dessert

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