Neco 2021 Mathematics Question 11

Practice essay / theory question 11 from the 2021 Neco Mathematics examination. This question covers Graphs, Quadratic modelling, Data interpretation .

Neco 2021 Mathematics Essay / Theory
Topics: Graphs Quadratic modelling Data interpretation
Question 11 NECO • 2021 • MATHEMATICS • essay
Neco 2021 Mathematics Question 11 diagram

The graph shown represents the monthly revenue (in thousands of Naira) of a small business over a period of seven months, from month 0 to month 6. The revenue values at the indicated months are: (0,20), (1,45), (2,70), (3,95), (4,115), (5,130) and (6,125).

Question Parts

( a )
State the month in which the revenue was maximum and give the corresponding revenue.
( b )
Assuming the revenue \(R\) (in thousand Naira) varies with month \(t\) (in months) according to a quadratic model \(R = at^{2}+bt+c\), use the data for months 0, 3 and 6 to determine the constants \(a\), \(b\) and \(c\).
( c )
Using the model obtained in part (b), predict the revenue for month 7.
( d )
Discuss briefly whether the quadratic model is appropriate for forecasting revenue beyond month 6. Give two reasons to support your view.

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About This Question

This is Neco 2021 Mathematics Question 11. It is one of the essay questions from the 2021 Neco Mathematics examination.

The question covers Graphs, Quadratic modelling, Data interpretation .

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