You have the formula y = 3x + 12. Calculate x then y = 45. Basic level 2) A mini submarine is to be used to investigate a shipwreck that lies deep on the ocean floor. The mini submarine starts from the surface of the sea and then travels downwards with the vertical speed of 0.50 meters per second. Let y be the submarine's depth in meters below the surface when it traveled for x seconds. The depth is given as a negative number, for example -4 m when it is 4 meters below the surface. a) Determine a formula that shows how y depends on x. b) Use the formula to calculate the submarine's depth after an hour's travel. Basic/Advanced level 3)The diagram shows how far two different rockets have traveled. What is the difference in speed between the rockets? You who start this assignment AFTER September 5, 2022 should not do questions 1a and 1b, instead do questions 1c and 1d. You who started this assignment BEFORE September 5, 2022 should NOT do questions 1c and 1d. Basic/Advanced Level 4) A fighter plane experiences engine trouble and a retrospective analysis shows that the plane's altitude changed according to the formula: ?(?) = 8000 ∙ 0.65? , where H is the altitude in meters x minutes after the trouble started. a) Calculate and explain what means: ?(7). b) What altitude was the plane at when the problems started? Basic/Advanced level 5) The value of a car can be calculated using the formula: ?(?) = 240000 − 15000 ∙ ? (??????) where x = the number of years after the purchase. a) Calculate and explain in words what ?(0) means. b) Calculate and explain in words what ?(5) means. c) How long will it take before the car's value is SEK 75,000? Advanced level 6) Determine where the line: 7? − 3? + 11 = 0 intersects the coordinate axes.
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