1. Town MHF determines the amount of property tax (P) in hundreds of dollars as a...

  

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1. Town MHF determines the amount of property tax (P) in hundreds of dollars as a function of the building size (s) in 10 square meters. P(h) 5s s+5 a. What property tax would you need to pay on an empty lot (no building)? [1 mark] = b. Determine the average rate of property tax increase (per 10 square meters) for s = 2 to s = 5. [2 marks] c. What is the instantaneous rate of change of property tax for a building that is 100m (s = 10)? [2 marks] 2. The percentage of the part of the moon facing earth that is illuminated can be modeled by a sinusoidal function. 100% corresponds to a full moon, and 0% corresponds to a new moon. Create a sinusoidal function based on the data presented, relating the percentage of the moon illuminated (I) as a function of the number of days passed (T) since the start of data collection. Data was only collected on nights without cloud cover. me passed (days) 02578 13 14 15 18 23 29 5 1 5 30 31 36 40 42 44 50 99 100 99 61 19 5 0 Illumination (%) 95 100 89 72 61 11 a. What is the amplitude of this function? [1 mark] c. Determine a sine or cosine function that would model this data. [3 marks] b. What is the period of this function? [1 mark] 1. Town MHF determines the amount of property tax (P) in hundreds of dollars as a function of the building size (s) in 10 square meters. P(h) 5s s+5 a. What property tax would you need to pay on an empty lot (no building)? [1 mark] = b. Determine the average rate of property tax increase (per 10 square meters) for s = 2 to s = 5. [2 marks] c. What is the instantaneous rate of change of property tax for a building that is 100m (s = 10)? [2 marks] 2. The percentage of the part of the moon facing earth that is illuminated can be modeled by a sinusoidal function. 100% corresponds to a full moon, and 0% corresponds to a new moon. Create a sinusoidal function based on the data presented, relating the percentage of the moon illuminated (I) as a function of the number of days passed (T) since the start of data collection. Data was only collected on nights without cloud cover. me passed (days) 02578 13 14 15 18 23 29 5 1 5 30 31 36 40 42 44 50 99 100 99 61 19 5 0 Illumination (%) 95 100 89 72 61 11 a. What is the amplitude of this function? [1 mark] c. Determine a sine or cosine function that would model this data. [3 marks] b. What is the period of this function? [1 mark]