The chart below shows the economic cost 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 side dish most likely costs much more in the healthier lunch because
A. it contains a larger portion than the current lunch.
B. it uses a substitute item that is more expensive.
C. it tastes better than the side dish in the current lunch.
D. it reduces childhood obesity in a more effective way.



Answer :

To address the question of why the side dish in the healthier lunch costs more, let's analyze the economic costs per lunch as provided in the chart:

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

Focusing on the side dish costs:
- The cost of the side dish in the current lunch is \[tex]$0.30. - The cost of the side dish in the healthier lunch is \$[/tex]0.90.

We notice that the side dish in the healthier lunch costs more. Specifically:
- Cost difference = \[tex]$0.90 (Healthier Side Dish) - \$[/tex]0.30 (Current Side Dish) = \[tex]$0.60. Given this difference, we can consider the potential reasons listed: 1. It contains a larger portion than the current lunch. 2. It uses a substitute item that is more expensive. 3. It tastes better than the side dish in the current lunch. 4. It reduces childhood obesity in a more effective way. Analyzing these options, the most logical conclusion is: - The side dish in the healthier lunch likely uses a substitute item that is more expensive, hence the higher cost. The reason focusing on the substitute being more expensive makes sense is that a healthier option might incorporate higher quality or fresher ingredients, organic produce, or other premium products that tend to cost more. This aligns with the observed cost difference of \$[/tex]0.60.

Thus, the side dish most likely costs much more in the healthier lunch because it uses a substitute item that is more expensive.