Neco Model Questions Vol1 2025 Mathematics Question 11

Practice essay / theory question 11 from the 2025 Neco Model Questions Vol1 Mathematics examination. This question covers Graphs, Gradient, Equation of a line, Area under a curve, Interpretation of data .

Neco Model Questions Vol1 2025 Mathematics Essay / Theory
Topics: Graphs Gradient Equation of a line Area under a curve Interpretation of data
Question 11 NECO_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • essay
Neco Model Questions Vol1 2025 Mathematics Question 11 diagram

The graph below shows the monthly profit (in thousands of Naira) of a small trading business over a ten‑month period. The points A, B, C, D and E are plotted at the coordinates: A(1, 2), B(3, 5), C(6, 9), D(8, 6) and E(10, 3). The profit curve is drawn by joining the consecutive points with straight line segments. Using the information from the graph answer the following:

Question Parts

( a )
Calculate the gradient of the segment joining points B and C.
( b )
Find the equation of the straight line that passes through points D and E. Express the equation in the form y = mx + c.
( c )
Determine the total area enclosed between the profit curve and the x‑axis from x = 3 (point B) to x = 8 (point D). Give your answer in thousand‑Naira·months.
( d )
State, in the context of the business, what the maximum profit value shown on the graph represents.

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About This Question

This is Neco Model Questions Vol1 2025 Mathematics Question 11. It is one of the essay questions from the 2025 Neco Model Questions Vol1 Mathematics examination.

The question covers Graphs, Gradient, Equation of a line, Area under a curve, Interpretation of data .

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