Question 4 20 marks This question is based on your mark on MU123 up to and including Unit 2. (a) A hot air balloon takes off from the ground and begins to ascend. Its height increases steadily, at a rate of 2.2 m per second. (i) Using this information, complete a copy of the table below. a. Height of balloon H, in metres (ii) Mark the points from part (i) on a graph, with the vertical axis showing H, the height of the balloon in metres, and the horizontal axis showing T, the time in seconds. Draw a line through these points. You will nd the tips for drawing graphs on page 84 of Unit 2 useful. You can draw your graph either by hand {using graph paper) or using a computer. (iii) Explain how you could use your graph to nd the time when the balloon's height is 70 m. How long (to the nearest second) does the balloon take to reach this height? (h) Entry tickets for a wildlife park cost 15.95 per adult and 8.50 per child. (i) Calculate the total cost of admission for three adults and two children. (ii) Write down a formula for the total cost T, in 53, if a is the number of adults and c is the number of children. Explain your reasoning. (c) Given that a _ c2 25 3 nd the value of h when a = 1.8, b = 0.35 and c = 1.3. Give your answer correct to two signicant gures. k: [2] [5] [3] [5]