Question: Question 4 20 marks: This queation is based on your uork on MUI.es sp to and inctuding tinit 7. Jude is organising a retirement party

 Question 4 20 marks: This queation is based on your uork

Question 4 20 marks: This queation is based on your uork on MUI.es sp to and inctuding tinit 7. Jude is organising a retirement party for his partner. He hus found two gaitable local venues which can acenmodate his needs. The local hotel charges, 215 per person for a buffet and 1425 for a latge rootn with a bar. A local pub charges 118 per person for a buffet with a similar room coeting 1320. (A) Copy and comiplete Table 1 by wotking out bow much it costs to go to each option for the numbers of prople attending shown. Tabe I Total cost in pounde for cach option [2] (b) For the local hotel, the linear equation 5=15r+125 can be used to model the total cost y (in potnds) for x people attending. (5) Explain how this equation is constructed to show that it holds. (ii) Write down a similar equation that can be uced to model the total cost y (in pounds) for x poople attending the local pub. [1] (c) (i) Using the same axes, draw graphs of the two equations from part (b). Use an x-scale from 0 to 45 , and chocse a y-scale that allows both lines to be seen over this nange. You may draw yotar grups by kand, tuing squarod paper, ar tusing Graphplotter and inciusle them with the reat of your TM.A. Remember to lebel the lines weith their eyuationk. See the sereencait on hot to use Graphplotter if gos are haring difficulty adjasting the limits for the slope and intercept (ii) (1) What do the gradients of these lines represent in terms of the situation being modelleve [d] [I] (2) What do the y-intercepts of these lints represent in terms of the situation being modelled

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