Questions: A company orders boxed lunches from a deli, which all cost the same price. The relationship between the number of boxed lunches ordered, x, and the total cost in dollars of the lunches, y, is represented by a graph drawn in the xy-plane. If the point (9,108) lies on the graph, what does the ordered pair ( 9,108 ) indicate? 9 lunches that cost 108.00 each 108 lunches that cost a total of 9.00 108 lunches that cost 9.00 each 9 lunches that cost a total of 108.00

A company orders boxed lunches from a deli, which all cost the same price. The relationship between the number of boxed lunches ordered, x, and the total cost in dollars of the lunches, y, is represented by a graph drawn in the xy-plane. If the point (9,108) lies on the graph, what does the ordered pair ( 9,108 ) indicate? 9 lunches that cost 108.00 each 108 lunches that cost a total of 9.00 108 lunches that cost 9.00 each 9 lunches that cost a total of 108.00
Transcript text: A company orders boxed lunches from a deli, which all cost the same price. The relationship between the number of boxed lunches ordered, $x$, and the total cost in dollars of the lunches, $y$, is represented by a graph drawn in the xy-plane. If the point $(9,108)$ lies on the graph, what does the ordered pair ( 9,108 ) indicate? 9 lunches that cost $\$ 108.00$ each 108 lunches that cost a total of $\$ 9.00$ 108 lunches that cost $\$ 9.00$ each 9 lunches that cost a total of $\$ 108.00$
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Solution

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Solution Steps

The point \((9, 108)\) on the graph indicates that when 9 boxed lunches are ordered, the total cost is $108.00. This means that 9 lunches cost a total of $108.00.

Step 1: Identify the Given Values

We are given the point \((9, 108)\) on the graph, which indicates:

  • \(x = 9\) (number of boxed lunches)
  • \(y = 108\) (total cost in dollars)
Step 2: Calculate the Cost per Lunch

To find the cost per lunch, we use the formula: \[ \text{cost per lunch} = \frac{y}{x} \] Substituting the given values: \[ \text{cost per lunch} = \frac{108}{9} = 12.0 \]

Final Answer

\(\boxed{9 \text{ lunches that cost a total of } \$108.00}\)

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