Which best describes the data set?
2 answers:
Answer: It is nonlinear because the increase in the "Total house built" compared to the "Months Passed" does not show a constant rate of change.
Step-by-step explanation:
We say function to be linear if the rate of change in dependent variable (y) with respect to independent variable (x) is constant.
Rate of change =
According to the question ,
Independent variable = Number of months
Dependent variable = Total house built
Now rate of change of "Total house built" for month 0 to 3:-
(1)
Rate of change of "Total house built"fro month 3 to 4:-
(2)
From (1) and (2), it is clear that the rate of change is not constant
(∵ 11≠ 13 ).
Hence, the correct answer is : It is nonlinear because the increase in the "Total house built" compared to the "Months Passed" does not show a constant rate of change.
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Here's the right way:
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