Situation 1 The following data represent the various combinations of soda and hot dogs that Yolanda can buy at a baseball game with $60. (a) Identify the independent and dependent variables. Provide a label, a verbal description, and the unit. Use function notation. Soda Hot Dogs 20 0 15 3 10 6 5 9 (b) Is this relation a function? Explain. Is this relation a linear function? Explain. (c) Write a function equation using the labels from part (a). (d) Are the variables discrete or continuous? Explain. (e) Write a real-world domain and range for this function. Use appropriate set-notation according to part (d) and include units. (f) Explain the practical meaning of the slope in this situation. (g) Sketch a complete graph for this function. Use dotted line or solid line according to (d). (h) Find and interpret the values of the intercepts for the graph in part (g). Can you estimate the price of soda? The price of a hot dog? Situation 2 A projectile is fired from a cliff 200 feet above the water at an inclination of 45 to the horizontal, with a muzzle velocity of 50 feet per second. The height h of the projectile above the water is modeled by h(x) = 32x2 (50) + x + 200 Share where x is the horizontal distance of the projectile from the face of the cliff. (a) Identify the independent and dependent variables. Provide the label, a verbal description, and the unit. (b) Is this a linear function? Explain. Is it a quadratic function? Explain. (c) Are the variables discrete or continuous? Explain. (d) At what horizontal distance from the face of the cliff is the height of the projectile a maximum? (e) Find the maximum height of the projectile. (f) At what horizontal distance from the face of the cliff will the projectile strike the water? (g) Write a real-world domain and range for this function. Use appropriate set-notation according to part (c) and include units. (h) When the height of the projectile is 100 feet above the water, how far is it from the cliff?