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Question

The table shows the number of bracelets purchased and their cost. Find the missing value from the table if the number of bracelets and the cost are proportional.

Number of bracelets 3 9 27
Cost (in $) 2.5 7.5 ?

A
$ 9
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B
$ 22.5
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C
$ 2.5
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D
$ 7.8
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Solution

The correct option is B $ 22.5
From the table, we can see:
Number of bracelets Cost (in $) Cost per bracelet ($ per unit)
3 2.5 2.53=56
9 7.5 7.59=1518=56
27 x x27

Here, the constant of proportionality is 56.
Since the number of bracelets are proportional to the cost, we have: x27=56
x=56×27=52×9=452=22.5
Therefore, the missing value should be $ 22.5.

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