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A company conducted research among all its employees on what percentage of their monthly salary was spent on fuel in a particular month - NSC Mathematics - Question 2 - 2022 - Paper 2
Question 2
A company conducted research among all its employees on what percentage of their monthly salary was spent on fuel in a particular month. The data is represented in t... show full transcript
Worked Solution & Example Answer:A company conducted research among all its employees on what percentage of their monthly salary was spent on fuel in a particular month - NSC Mathematics - Question 2 - 2022 - Paper 2
Step 1
Step 2
Step 3
How many employees spent more than 22.5% of their monthly salary on fuel?
Answer
To find the number of employees spending more than 22.5%, we first find the cumulative frequency at 22.5%. According to the graph, approximately 34 employees represent this percentage. Thus, the number of employees spending more than 22.5% is calculated as follows:
Total Employees: 60 - 34 = 26 employees.
Step 4
An employee spent R2400 of his salary on fuel in that particular month. Determine the monthly salary of this employee if he spends 7% of his salary on fuel.
Answer
Let the monthly salary be S. Given that he spends 7% of his salary on fuel, we can express this as:
To find S, we rearrange the equation:
Thus, the monthly salary of the employee is R34,285.71.
Step 5
The monthly salaries of these employees remains constant and the number of litres of fuel used in each month also remains constant. If the fuel price increases from R21.43 per litre to R22.79 per litre at the beginning of the next month, how will the above change?
Answer
The ogive/cumulative frequency graph will shift to the right and become steeper due to the increased fuel cost affecting the percentage of salary spent on fuel.