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Question

# What is the constant of proportionality of the function in the given table? Time (in min) Depth (in m) 2 -24 4 -48 6 -72

A
-12
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B
-3
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C
-6
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D
-24
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Solution

## The correct option is A -12 Time in min (x) Depth in m (y) 2 -24 4 -48 6 -72 From the table, we observe: At time x = 2 min, y = -24 m At time x = 4 min, y = -48 m At time x = 6 min, y = -72 m To find the constant of proportionality, we need to find the value of yx. Constant of proportionality = yx =−242=−12 Continuing for second and third values from the table, we see: Constant of proportionality =−484=−726=−12

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