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Question

Interpret the graph and complete the table.


Total budget = $120

If cost of 1 chair = $3 and 1 table =$5, then p = and q = .



A
10
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B
12
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C
15
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D
18
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E
16
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Solution

The correct option is C 15
Given:
Total budget = $120
Cost of 1 chair = $3
Cost of 1 table = $5
Let the number of chairs and tables bought be x and y respectively.

So,
3x + 5y = 120

Plotting the equation and substituting values of x on graph, we get:


When x = 15 on the graph, we get:
y = 15
i.e.,
(x, y) = (15,15)

Similarly, when x = 20
y = 12
i.e.,
(x, y) = (20,12)

The value of p is 15 and q is 12.

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