QUESTION 3 (20 marks) (a) Copy the table of values into your answer booklet and complete for the function Include the following table with your answers and fill in all missing values. -10 1 (3 marks) (b) Determine the equation of the line joining the points (5.9) and (8, 15). (4 marks) (") What is the equation of the line graphed below? 15100 (3 marks) (d) A plumber Tony charges a fixed service fee of $100 plus an additional charge of $85 per hour to complete the job. A second plumber Jarrod charges a fixed service fee of $90 plus an additional charge of $90 per hour to complete the job. (i) Write an expression for the total amount C dollars, each plumber will charge, for a job that takes him t hours. (2 marks) (ii) How much will the Tony charge for a job that takes him 45 minutes? (1 mark) (iii) Meredith is trying to decide which plumber to choose to call out based on cost so is interested in when the cost will be the same. Calculate the break-even time (to complete the job) for each of the two plumbers, i.e. for what length job (time in hours) will the cost be the same? (2 marks) Acceleration due to gravity (A m/s? ) acting on a satellite is inversely proportional to the square of its distance (x km) from the centre of the earth. The radius of the Earth is 6400 km and when the satellite is on the ground (ie r = 6400 km), the acceleration A is approximately 10 m/$2. (i) Calculate the constant of variation. (2 marks (ii) Write an equation which represents the exact relationship between acceleration and distan from the centre of the earth. (1 ma iii) Calculate the acceleration acting on the satellite when it is 12,000 km from the centre the earth. (2 ma