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

\begin{tabular}{|l|r|r|}
\hline \multicolumn{3}{|c|}{ Economic Cost per Lunch } \\
\hline & \begin{tabular}{c}
Current \\
lunch
\end{tabular} & \begin{tabular}{c}
Healthier \\
lunch
\end{tabular} \\
\hline Main course & [tex]$\$[/tex] 1.15[tex]$ & $[/tex]\[tex]$ 1.85$[/tex] \\
\hline Side dish & [tex]$\$[/tex] 0.30[tex]$ & $[/tex]\[tex]$ 0.90$[/tex] \\
\hline Dessert & [tex]$\$[/tex] 0.30[tex]$ & $[/tex]\[tex]$ 0.10$[/tex] \\
\hline Beverage & [tex]$\$[/tex] 0.30[tex]$ & $[/tex]\[tex]$ 0.05$[/tex] \\
\hline Total & [tex]$\$[/tex] 2.05[tex]$ & $[/tex]\[tex]$ 2.80$[/tex] \\
\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 :

To determine the smallest price difference between the components of the current and healthier lunches, we need to examine each component's cost and compare them.

Let's break down the price differences for each component:

1. Main Course:
- Current lunch: \[tex]$1.15 - Healthier lunch: \$[/tex]1.85
- Difference: [tex]\( \$1.85 - \$1.15 = \$0.70 \)[/tex]

2. Side Dish:
- Current lunch: \[tex]$0.30 - Healthier lunch: \$[/tex]0.90
- Difference: [tex]\( \$0.90 - \$0.30 = \$0.60 \)[/tex]

3. Dessert:
- Current lunch: \[tex]$0.30 - Healthier lunch: \$[/tex]0.10
- Difference: [tex]\( \$0.30 - \$0.10 = \$0.20 \)[/tex]

4. Beverage:
- Current lunch: \[tex]$0.30 - Healthier lunch: \$[/tex]0.05
- Difference: [tex]\( \$0.30 - \$0.05 = \$0.25 \)[/tex]

After calculating the differences, we see the following price differences:
- Main Course: \[tex]$0.70 - Side Dish: \$[/tex]0.60
- Dessert: \[tex]$0.20 - Beverage: \$[/tex]0.25

From these calculations, the smallest price difference is found in the dessert, with a difference of \$0.20. Therefore, the correct answer is:

Dessert.