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Question

The table shows the number of t-shirts bought (x) and the total cost of the t-shirts (y). Identify the equation that represents the relation between x and y.

Number of t-shirts (x) 5 25 26
Cost (in $) (y) 15 75 78

A
y=(12)x
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B
y=(13)x
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C
y=3x
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D
y=2x
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Solution

The correct option is C y=3x
To check whether there exists a proportional relationship, find the ratio of the total cost of the t-shirts (y) to the number of t-shirts bought (x) from the table.
Total cost of the t-shirts (in $) (y) Number of t-shirts of bought (x) yx (units rate)
15 5 155=3
75 25 7525=3
78 26 7826=3

From the table we can see that
yx=3.
Thus, the equation is y=3x.

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