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Question

Observe the table:

Time (in min) % Increase in productivity
12 1
6 5
0 9

If we represent the data in form of an equation, where x = Time and y = Percentage increase in productivity, what is its constant of proportionality?

A
Cannot be determined
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B
Negative constant of proportionality
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C
Positive constant of proportionality
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D
Zero constant of proportionality
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Solution

The correct option is B Negative constant of proportionality
Time (in min) % Increase in productivity
12 1
6 5
0 9

Value of y is decreasing with an increase in x value.

Hence, the slope of this function is negative.

Therefore, the table shows a negative constant of proportionality.

Observing from the graph, we see:


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