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



Answer :

GinnyAnswer
To determine which category has the largest price difference between the two lunches, let's calculate the absolute difference in cost for each category:

1. Main course:
- Current lunch: \[tex]$1.15 - Healthier lunch: \$[/tex]1.85
- Difference: \|1.15 - 1.85\| = \[tex]$0.70 2. Side dish: - Current lunch: \$[/tex]0.30
- Healthier lunch: \[tex]$0.90 - Difference: \|0.30 - 0.90\| = \$[/tex]0.60

3. Dessert:
- Current lunch: \[tex]$0.30 - Healthier lunch: \$[/tex]0.10
- Difference: \|0.30 - 0.10\| = \[tex]$0.20 4. Beverage: - Current lunch: \$[/tex]0.30
- Healthier lunch: \[tex]$0.05 - Difference: \|0.30 - 0.05\| = \$[/tex]0.25

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

The largest price difference is found in the main course, with a difference of \$0.70.

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