(a) Cop}r and complete Table 1 by working out how much it costs to go to each option for the numbers of teenagers attending shown. Table 1 Total cost in pounds for each option Number of teenagers attending III --- b The linear nation = 15.1: --+- 22!] can be used to model the total cost 351 ll ll {:in poimds) for I teenagers attending Option A. (i) Explain how the equation is constructed in order to show that it holds. {:ii) Write down a similar equation that can be used to model the total cost 3; {in poimds) for :1: teenagers attending Option B. (c) (i) Using the same axes, draw graphs of the two equations from part (b). Use an :r-scale from i] to 30, and choose a yscale that allows both lines to be seen over this range. You magI draw your graphs by hand, using squared paper, or use Graphplotter. Remember to label the lines with their equations. See the screencast an hour to use Graphplotter if you are having diiculty adjusting the limits for the slope and intercept. Include your graphs with the rest of your TMA (ii) (1) What do the gradients of these lines represent in terms of the Situation being modelled? (2} What do the yintercepts of these lines represent in terms of the situation being modelled