(b) Mountain Adventures would like to place a rectangular advertising billboard on the side of Assess use their ski jump building. The side of the building is a trapezium with parallel vertical sides 10 metres apart. The sloping side of the building follows a straight line with equation y = 30 - 2x. Using tables, equations, and graphs, investigate possible dimensions for the billboard that would give the maximum area. The billboard must be rectangular and fit on the side of the building 35 A 30 4:30 - 2x 25 20 15 10 5 -4 - 2 0 2 8 10 12 14 16 18 20 22 24 X -5YQUESTION THREE use only (a) Mountain Adventure family tickets for a ski resort allow a number of children to receive free tickets depending on the number of paying adults. If only one adult buys a ticket, three children get free tickets. 1 a = 3 c 13 1+2 For every extra adult ticket bought, four more children get free tickets. 2 9 = 4C 1 = 3 This offer is only valid for up to 5 adult tickets. 2- 4 y = axc t b 3-5 (i) Find a formula for the number of free children's tickets that a family will get depending on the 1X 2 number of adults. ( 20) adults 1+ 2 : Children 19 4 3 5 4 C 5 7 y = @ xx + 2 ii) Illustrate your formula on the graph below. 18 16 18