Steve is a production manager of a printing factory. The printing machine of his factory broke...

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Steve is a production manager of a printing factory. The printing machine of his factory broke down and he gathered the quotations from two different repair companies. Both repair companies will charge a flat fee for inspection plus the number of hours spent on repairing the printing machine. You discover that the flat fee of repairer X is higher than repuirer Y. However, the hourly charge of repairer X is lower than repairer Y. On top of that, both repairers charge a flat fee of at least RM30 as well as hourly charge of at least RM10. Assuming the cost of repair is perfectly directly linearly related to the repair time. (a) Complete the cost (RM) column of the table below to show the two different quotations charged by repairers X and Y: (5 marks) REPAIRER X REPAIRER Y Time in hours Cost (RM) Time in hours Cost (RM) 3. 6. 12 12 (b) Find the lincar equation for the quotation given by repairer X. Interpret the intercept. (4 marks) (c) Find the lincar equation for the quotation given by repairer Y. Interpret the slope. (4 marks) (d) At which hour both repairers charge the same rate? (e) Draw the 2 linear lines in a Cartesian plane (using Excel) for both repairers. (2 marks) (1) From the graph in part (e), compare the charges between the two repairers. (3 marks) (g) If repairer Y decided to increase its initial cost by RM4 and reduce the hourly cost by RM2, determine the new linear equation for repairer Y. At which hour both repairers will charge the same rate now? (5 marks) (h) From part (g), draw the 2 linear lines in a Cartesian plane (using Excel) for both repairers. Compare the charges between the two repairers. Is this answer different from part (f)? Steve is a production manager of a printing factory. The printing machine of his factory broke down and he gathered the quotations from two different repair companies. Both repair companies will charge a flat fee for inspection plus the number of hours spent on repairing the printing machine. You discover that the flat fee of repairer X is higher than repuirer Y. However, the hourly charge of repairer X is lower than repairer Y. On top of that, both repairers charge a flat fee of at least RM30 as well as hourly charge of at least RM10. Assuming the cost of repair is perfectly directly linearly related to the repair time. (a) Complete the cost (RM) column of the table below to show the two different quotations charged by repairers X and Y: (5 marks) REPAIRER X REPAIRER Y Time in hours Cost (RM) Time in hours Cost (RM) 3. 6. 12 12 (b) Find the lincar equation for the quotation given by repairer X. Interpret the intercept. (4 marks) (c) Find the lincar equation for the quotation given by repairer Y. Interpret the slope. (4 marks) (d) At which hour both repairers charge the same rate? (e) Draw the 2 linear lines in a Cartesian plane (using Excel) for both repairers. (2 marks) (1) From the graph in part (e), compare the charges between the two repairers. (3 marks) (g) If repairer Y decided to increase its initial cost by RM4 and reduce the hourly cost by RM2, determine the new linear equation for repairer Y. At which hour both repairers will charge the same rate now? (5 marks) (h) From part (g), draw the 2 linear lines in a Cartesian plane (using Excel) for both repairers. Compare the charges between the two repairers. Is this answer different from part (f)?

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