Neco 2020 Mathematics Question 10

Practice essay / theory question 10 from the 2020 Neco Mathematics examination. This question covers Variation .

Neco 2020 Mathematics Essay / Theory
Topic: Variation
Question 10 NECO • 2020 • MATHEMATICS • essay

In a manufacturing plant the daily energy consumption \(E\) (in kWh) varies jointly with the square of the production speed \(s\) (units per hour) and inversely with the efficiency factor \(\eta\) (a decimal between 0 and 1). In addition, a fixed base consumption of 50 kWh is incurred each day regardless of speed or efficiency.

Question Parts

( a )
When the plant operates at a speed of 120 units/hour with an efficiency of 0.8, the total daily consumption is 230 kWh. Determine the constant of proportionality \(k\) in the variation formula \(E = k\dfrac{s^{2}}{\eta}+50\).
( b )
Using the value of \(k\) found in part (a), calculate the total daily consumption when the speed is 180 units/hour and the efficiency is 0.75. Give your answer in kWh.
( c )
The plant wishes to keep the total daily consumption at or below 350 kWh. If the efficiency can be maintained at 0.9, what is the maximum speed (in whole units per hour) that can be used? State the speed to the nearest whole unit.

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Neco 2020 Mathematics Question 10. It is one of the essay questions from the 2020 Neco Mathematics examination.

The question covers Variation .

View More Neco 2020 Mathematics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support